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Computation of Special Functions

MATLAB routines for computation of Special Functions

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Last Week downloads: 0
Total downloads: 682
Matlab
  • Last Updated: Jul 20, 2010
  • License: Freeware Free
  • OS: Windows /Linux/Mac OS/BSD/Solaris
  • Requirements: No special requirements
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For Computation of Special Functions Publisher's description

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Computation of Special Functions is a Scripts software developed by Ben Barrowes. After our trial and test, the software is proved to be official, secure and free. Here is the official description for Computation of Special Functions:

Edit by Brothersoft: MATLAB routines for computation of Special Functions

These routines are a direct translation, performed using f2matlab, of the original FORTRAN-77 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
Gauss-Legendre quadrature
Gauss-Laguerre
Gauss-Hermite
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 [1-J0(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 [1-I0(t)]/t from 0 to x and K0(t) from x to infinity
spherical Bessel functions of the first and second kinds
Riccati-Bessel 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
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