Web page for the book

Numerical Methods for Special Functions  

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

ISBN 978-0-898716-34-4                                                       

See also the associated blog

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

Links to software described in the book
(an update will be available soon with direct links to the programs)

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 spheroidal harmonics (algorithm 12.3)
• Oblate spheroidal harmonics (algorithm 12.4)
• Toroidal harmonics (algorithm 12.5), see also this link.

Modified Bessel functions

• Modified Bessel functions of integer orders (algorithm 12.6)
• Modified spherical Bessel functions (algorithm 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)