Web page for the software associated with the book

Numerical Methods for Special Functions  

A. Gil, J. Segura, N.M. Temme

ISBN 978-0-898716-34-4                                                       

Links to software described in the book

Airy functions and Scorer functions of complex arguments                          

• Airy functions (algorithm 12.1)
• Scorer functions (algorithm 12.2)

Associated Legendre functions of integer and half-integer degrees
                         

• Prolate and oblate spheroidal harmonics (algorithms 12.3 and 12.4)
• Toroidal harmonics (algorithm 12.5). Updated version

Modified Bessel functions

• Modified Bessel functions of integer and half-integer orders (algorithm 12.6 and 12.7) 
• Modified Bessel functions of purely imaginary order (algorithm 12.8)
  

Parabolic cylinder functions

• Parabolic cylinder functions of real order (algorithm 12.9)
  

Zeros of Bessel functions 

• Zeros of first kind Bessel functions (algorithm 12.10). Note: these are very simple algorithms, but not the fastest. These old algorithms have been superseded by recent fourth order methods. An update will be available soon.
  

See also the associated blog

If you found any errata in the book, please let us know.