s17dhf

s17dhf © Numerical Algorithms Group, 2002.

Purpose

S17DHF Airy functions Bi(z) and Bi' (z), complex z

Synopsis

[bi,ifail] = s17dhf(z<,deriv,scale,ifail>)

Description

 
 This subroutine returns a value for the Airy function Bi(z) or 
 its derivative Bi'(z), where z is complex, -(pi) < argz <= (pi). 
                                                         _    
                                                |Re (2z\/z/3)|
 Optionally, the value is scaled by the factor e              .
 
 For very large |z|, argument reduction will cause total loss of 
 accuracy, and so no computation is performed. For slightly 
 smaller |z|, the computation is performed but results are 
 accurate to less than half of machine precision. If Re  z is too 
 large, and the unscaled function is required, there is a risk of 
 overflow and so no computation is performed. In all the above 
 cases, a warning is given by the routine.
 

Parameters

s17dhf

Required Input Arguments:

z                                     complex

Optional Input Arguments:                       <Default>

deriv (1)                             string   'f'
scale (1)                             string   'u'
ifail                                 integer  -1

Output Arguments:

bi                                    complex
ifail                                 integer