• Introduction
  • The IMSL Fortran Numerical Libraries
  • Getting Started
  • Finding the Right Routine
  • Organization of the Documentation
  • Naming Conventions
  • Using Library Subprograms
  • Programming Conventions
  • Module Usage
  • Programming Tips
  • Optional Subprogram Arguments
  • Error Handling
  • Printing Results
• Elementary Functions
  • Routines
  • Usage Notes
  • CARG
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • CBRT
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Examples
      • Example 1
        • Output
      • Example 2
        • Output
  • EXPRL
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Examples
      • Example 1
        • Output
      • Example 2
        • Output
  • LOG10
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • ALNREL
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Examples
      • Example 1
        • Output
      • Example 2
        • Output
• Trigonometric and Hyperbolic Functions
  • Routines
  • Usage Notes
  • TAN
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • COT
    • Function Value Return
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Examples
      • Example 1
        • Output
      • Example 2
        • Output
  • SINDG
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • COSDG
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • ASIN
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • ACOS
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • ATAN
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • ATAN2
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • SINH
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • COSH
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • TANH
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • ASINH
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Examples
      • Example 1
        • Output
      • Example 2
        • Output
  • ACOSH
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Examples
      • Example 1
        • Output
      • Example 2
        • Output
  • ATANH
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Examples
      • Example 1
        • Output
      • Example 2
        • Output
• Exponential Integrals and Related Functions
  • Routines
  • Usage Notes
  • EI
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • E1
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • ENE
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • ALI
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • SI
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • CI
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • CIN
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • SHI
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • CHI
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • CINH
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
• Gamma Function and Related Functions
  • Routines
  • Usage Notes
  • FAC
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • BINOM
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • GAMMA
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Examples
      • Example 1
        • Output
      • Example 2
        • Output
  • GAMR
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Examples
      • Example 1
        • Output
      • Example 2
        • Output
  • ALNGAM
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Examples
      • Example 1
        • Output
      • Example 2
        • Output
  • ALGAMS
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • GAMI
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • GAMIC
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • GAMIT
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • PSI
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Examples
      • Example 1
        • Output
      • Example 2
        • Output
  • PSI1
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • Description
    • Comments
    • Example
      • Output
  • POCH
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • POCH1
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • BETA
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Examples
      • Example 1
        • Output
      • Example 2
        • Output
  • ALBETA
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Examples
      • Example 1
        • Output
      • Example 2
        • Output
  • BETAI
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
• Error Function and Related Functions
  • Routines
  • Usage Notes
  • ERF
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • ERFC
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • ERFCE
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • CERFE
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • ERFI
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • ERFCI
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • DAWS
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • FRESC
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • FRESS
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
• Bessel Functions
  • Routines
  • Usage Notes
  • BSJ0
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • BSJ1
    • Function Return Value­
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • BSY0
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • BSY1
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • BSI0
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • BSI1
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • BSK0
    • Function Return Value
    • Required Arguments
    • Fortran 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • BSK1
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • BSI0E
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • BSI1E
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • BSK0E
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • BSK1E
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • BSJNS
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Examples
      • Example 1
        • Output
      • Example 2
        • Output
  • BSINS
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Examples
      • Example 1
        • Output
      • Example 2
        • Output
  • BSJS
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • BSYS
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • BSIS
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • BSIES
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • BSKS
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • BSKES
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • CBJS
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • CBYS
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • CBIS
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • CBKS
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
    • Output
• Kelvin Functions
  • Routines
  • Usage Notes
  • BER0
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • BEI0
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • AKER0
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • AKEI0
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • BERP0
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • BEIP0
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • AKERP0
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • AKEIP0
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • BER1
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • BEI1
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • AKER1
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • AKEI1
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
• Airy Functions
  • Routines
  • AI
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • BI
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • AID
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • BID
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • AIE
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • BIE
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • AIDE
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • BIDE
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • CAI
    • Function Return Value
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Comments
    • Example
      • Output
  • CBI
    • Function Return Value
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Comments
    • Example
      • Output
  • CAID
    • Function Return Value
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Comments
    • Example
      • Output
  • CBID
    • Function Return Value
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • Description
    • Comments
    • Example
      • Output
• Elliptic Integrals
  • Routines
  • Usage Notes
    • Carlson Elliptic Integrals
  • ELK
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • ELE
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • ELRF
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • ELRD
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • ELRJ
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • ELRC
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
• Elliptic and Related Functions
  • Routines
  • Usage Notes
  • CWPL
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • CWPLD
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • CWPQ
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • CWPQD
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • EJSN
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Examples
      • Example 1
        • Output
      • Example 2
        • Output
  • EJCN
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Examples
      • Example 1
        • Output
      • Example 2
        • Output
  • EJDN
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Examples
      • Example 1
        • Output
      • Example 2
        • Output
• Probability Distribution Functions and Inverses
  • Routines
  • Usage Notes
    • Discrete Random Variables
    • Continuous Distributions
    • Additional Comments
  • BINDF
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • BINPR
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • GEODF
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • GEOIN
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • GEOPR
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • HYPDF
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • HYPPR
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • POIDF
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • POIPR
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • UNDDF
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • UNDIN
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • UNDPR
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • AKS1DF
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Programming Notes
    • Example
      • Output
  • AKS2DF
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Programming Notes
    • Example
      • Output
  • ALNDF
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • ALNIN
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • ALNPR
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • ANORDF
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • ANORIN
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • ANORPR
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • BETDF
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • BETIN
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • BETPR
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • BETNDF
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • Description
    • Example
      • Output
  • BETNIN
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • Description
    • Example
      • Output
  • BETNPR
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • Description
    • Example
      • Output
  • BNRDF
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • CHIDF
    • Function Return Value
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • CHIIN
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • CHIPR
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • CSNDF
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • CSNIN
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • CSNPR
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • Description
    • Example
      • Output
  • EXPDF
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • EXPIN
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • EXPPR
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • EXVDF
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • EXVIN
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • EXVPR
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • FDF
    • Function Return Value
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • FIN
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • FPR
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • FNDF
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • Description
    • Example
      • Output
  • FNIN
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • Description
    • Example
      • Output
  • FNPR
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • Description
    • Example
      • Output
  • GAMDF
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • GAMIN
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • GAMPR
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • RALDF
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • RALIN
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • RALPR
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • TDF
    • Function Return Value
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • TIN
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • TPR
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • TNDF
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • TNIN
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • TNPR
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • Description
    • Example
      • Output
  • UNDF
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • UNIN
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • UNPR
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • WBLDF
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • WBLIN
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • WBLPR
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • GCDF
    • Function Return Value
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • GCIN
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • GFNIN
    • Function Return Value
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
    • Output
• Mathieu Functions
  • Routines
  • Usage Notes
  • MATEE
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
      • Output
  • MATCE
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Examples
      • Example 1
        • Output
      • Example 2
        • Output
  • MATSE
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
    • Example
    • Output
• Miscellaneous Functions
  • Routines
  • Usage Notes
  • SPENC
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • INITS
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
  • CSEVL
    • Function Return Value
    • Required Arguments
    • Optional Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Comments
• Reference Material
  • Routines/Topics
  • User Errors
    • What Determines Error Severity
      • Terminal errors
      • Informational errors
      • Other errors
    • Kinds of Errors and Default Actions
    • Errors in Lower-Level Routines
    • Routines for Error Handling
  • ERSET
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
  • IERCD and N1RTY
    • Examples
      • Changes to Default Actions
  • Machine-Dependent Constants
  • IMACH
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
  • AMACH
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Comments
  • DMACH
  • IFNAN(X)
    • Function Return Value
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
    • Output
  • UMACH
    • Required Arguments
    • FORTRAN 90 Interface
    • FORTRAN 77 Interface
    • Description
    • Example
      • Output
  • Reserved Names
  • Deprecated Features and Deleted Routines
    • Automatic Workspace Allocation
    • Changing the Amount of Space Allocated
      • Output
    • Character Workspace
• Appendix A Alphabetical Summary of Routines
  • A
  • B
  • C
  • D
  • E
  • F
  • G
  • H
  • I
  • L
  • M
  • N
  • P
  • R
  • S
  • T
  • U
  • W
• Appendix B References
  • Abramowitz and Stegun
  • Aird and Howell
  • Akima
  • Barnett
  • Boisvert, Howe, Kahaner, and Springmann
  • Bosten and Battiste
  • Burgoyne
  • Butler and Paolella
  • Carlson
  • Carlson and Notis
  • Cody
  • Cody et al.
  • Conover
  • Cooper
  • Eckhardt
  • Fabijonas et al.
  • Fox et al.
  • Gautschi
  • Giles and Feng
  • Gradshteyn and Ryzhik
  • Hart et al.
  • Hill
  • Hodge
  • Hosking, et al.
  • Hosking and Wallis
  • IEEE
  • Johnson and Kotz
  • Kendall and Stuart
  • Kim and Jennrich
  • Kinnucan and Kuki
  • Luke
  • Majumder and Bhattacharjee
  • NATS FUNPACK
  • Olver and Sookne
  • Owen
  • Pennisi
  • Skovgaard
  • Sookne
  • Stephens
  • Strecok
  • Temme
  • Thompson and Barnett
  • Yousif and Melka

IMSL® Fortran Math Special Functions Library

Appendix B References