AIE

This function evaluates the exponentially scaled Airy function.

Function Return Value

AIE — Function value. (Output)
The Airy function for negative arguments and the exponentially scaled Airy function, eζAi(X), for positive arguments where

 

Required Arguments

X — Argument for which the Airy function value is desired. (Input)

FORTRAN 90 Interface

Generic: AIE (X)

Specific: The specific interface names are S_AIE and D_AIE.

FORTRAN 77 Interface

Single: AIE (X)

Double: The double precision name is DAIE.

Description

The exponentially scaled Airy function is defined to be

 

If , then the answer will have no precision. If , then the answer will be less accurate than half precision. Here, ɛ = AMACH(4) is the machine precision.

Example

In this example, AIE(0.49) is computed and printed.

 

USE AIE_INT

USE UMACH_INT

 

IMPLICIT NONE

! Declare variables

INTEGER NOUT

REAL VALUE, X

! Compute

X = 0.49

VALUE = AIE(X)

! Print the results

CALL UMACH (2, NOUT)

WRITE (NOUT,99999) X, VALUE

99999 FORMAT (' AIE(', F6.3, ') = ', F6.3)

END

Output

 

AIE( 0.490) = 0.294