Computation of Special Functions

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Last updated:  20100720 
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Publisher:  Ben Barrowes 
Publisher description for Computation of Special Functions
MATLAB routines for computation of Special Functions These routines are a direct translation, performed using f2matlab, of the original FORTRAN77 implementation of "Computation of Special Functions." For detailed description of the Algorithm of each program, please consult the book "Computation of Special Functions." Also see Errata at: http://ceta.mit.edu/comp_spec_func/ Bernoulli numbers Euler numbers Chebyshev, Laguerre, and Hermite polynomials GaussLegendre quadrature GaussLaguerre GaussHermite gamma function. logarithm of the gamma function. gamma function with a complex argument. beta function. psi function. psi function with a complex argument. incomplete gamma function. incomplete beta function. Legendre polynomials Legendre functions of the second kind associated Legendre polynomials Bessel functions of the first and second kinds zeros of the Bessel functions of the first and second kinds lambda functions modified Bessel functions of the first and second kinds Hankel functions of the first and second kinds integral of Bessel functions J0(t) and Y0(t) from 0 to x integral of [1J0(t)]/t from 0 to x and Y0(t)/t from x to Infinity integral of modified Bessel functions I0(t) and K0(t) from 0 to x integral of [1I0(t)]/t from 0 to x and K0(t) from x to infinity spherical Bessel functions of the first and second kinds RiccatiBessel functions of the first kind and second kind modified spherical Bessel functions of the first kind and second kind Kelvin functions zeros of the Kelvin functions Airy functions integral of the Airy functions. zeros of Airy functions Struve functions with an arbitrary order integral of Struve function H0(t) from 0 to x. integral of H0(t)/t from x to infinity. modified Struve function with an arbitrary order. integral of modified Struve function L0(t) from 0 to x. hypergeometric function hypergeometric function M(a,b,z) hypergeometric function U(a,b,x) parabolic cylinder functions Dv(z) parabolic cylinder functions Vv(x) parabolic