Numerical sofware

Click here for algorithms and associated software appearing
in the book Numerical Methods for Special Functions.
This includes software for:

Airy functions
Scorer functions
Prolate spheroidal harmonics
Oblate spheroidal harmonics
Toroidal harmonics
Modified Bessel functions of integer orders
Modified spherical Bessel functions
Modified Bessel functions of purely imaginary order
Parabolic cylinder functions of real order
Zeros of first kind Bessel functions


Additional published software:
              

Classical Gaussian quadratures NEW               
Fast and accurate computation of Gauss-Jacobi (Gauss-Legendre in particular, Gauss-Laguerre and Gauss-Hermite quadratures and associated barycentric interpolation)

Computation and inversion of the gamma cumulative distribution (central and non-central)
This package includes the computation and inversion of Marcum functions as well as other
functions which are used in this computation: gamma function, logarithm of the gamma
function, regulated gamma function, error function...

Generalized Fermi-Dirac integrals and its derivatives

Parabolic cylinder function W(a,x) and its derivative

Laguerre polynomials

Conical functions (a previous version here

A new Fortran code to compute Legendre functions