Chapter 7: Kelvin Functions

BER0

This function evaluates the Kelvin function of the first kind, ber, of order zero.

Function Return Value

BER0 — Function value.   (Output)

Required Arguments

X — Argument for which the function value is desired.   (Input)
ABS(X) must be less than 119.

FORTRAN 90 Interface

Generic:                              BER0 (X)

Specific:                             The specific interface names are S_BER0 and D_BER0.

FORTRAN 77 Interface

Single:                                BER0 (X)

Double:                              The double precision name is DBER0.

Description

The Kelvin function ber0(x) is defined to be J0(xe3πi4). The Bessel function J0(x) is defined in BSJ0. Function BER0 is based on the work of Burgoyne (1963).

Example

In this example, ber0(0.4) is computed and printed.

 

      USE BER0_INT

      USE UMACH_INT

 

      IMPLICIT   NONE

!                                 Declare variables

      INTEGER    NOUT

      REAL       VALUE, X

!                                 Compute

      X     = 0.4

      VALUE = BER0(X)

!                                 Print the results

      CALL UMACH (2, NOUT)

      WRITE (NOUT,99999) X, VALUE

99999 FORMAT (' BER0(', F6.3, ') = ', F6.3)

      END

Output

 

BER0( 0.400) =  1.000



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