s17akf

s17akf © Numerical Algorithms Group, 2002.

Purpose

S17AKF Airy function Bi' (x)

Synopsis

[fun_value,ifail] = s17akf(x<,ifail>)

Description

 
 This routine calculates an approximate value for the derivative 
 of the Airy function Bi(x). 
 
 For large negative arguments, it becomes impossible to calculate 
 a result for the oscillating function with any accuracy so the 
                                                   4/7
                                       (    ____  )          
                                       (  \/(pi)  )       
 routine must fail. This occurs for x<-( ---------)   , where 
                                       ( (epsilon))          
 (epsilon) is the machine precision.
 
 For large positive arguments, where Bi' grows in an essentially 
 exponential manner, there is a danger of overflow so the routine 
 must fail.
 

Parameters

s17akf

Required Input Arguments:

x                                     real

Optional Input Arguments:                       <Default>

ifail                                 integer  -1

Output Arguments:

ifail                                 integer