hyper_2f1


hyper_2f1, a C code which evaluates the hypergeometric function 2F1(a,b,c;x) for real parameters a, b, c, and argument x, based on the Gnu Scientific Library function gsl_sf_hyperg_2F1().

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

hyper_2f1 is available in a C version and a C++ version and a Fortran77 version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.

Related Data and Programs:

hyper_2f1_test

gsl_test, a C code which uses the Gnu Scientific Library (GSL), that includes functions to solve linear systems, and evaluate special functions;

test_values, a C code which supplies test values of various mathematical functions, including Abramowitz, AGM, Airy, Bell, Bernoulli, Bessel, Beta, Binomial, Bivariate Normal, Catalan, Cauchy, Chebyshev, Chi Square, Clausen, Clebsch Gordan, Collatz, Cosine integral, Dawson, Debye, Dedekind, dilogarithm, Exponential integral, Elliptic, Error, Euler, Exponential integral, F probability, Fresnel, Frobenius, Gamma, Gegenbauer, Goodwin, Gudermannian, Harmonic, Hermite, Hypergeometric 1F1, Hypergeometric 2F1, inverse trigonometic, Jacobi, Julian Ephemeris Date, Kelvin, Laguerre, Lambert W, Laplace, Legendre, Lerch, Lobachevsky, Lobatto, Logarithmic integral, Log normal, McNugget numbers, Mertens, Mittag-Leffler, Moebius, Multinomial, Negative binomial, Nine J, Normal, Omega, Owen, Partition, Phi, Pi, Poisson, Polylogarithm, Polyomino, Prime, Psi, Rayleigh, Hyperbolic Sine integral, Sigma, Sine Power integral, Sine integral, Six J, Sphere area, Sphere volume, Spherical harmonic, Stirling, Stromgen, Struve, Student, Subfactorial, Student probability, Three J, Transport, Trigamma, Truncated normal, van der Corput, von Mises, Weibull, Wright omega, Zeta.

Reference:

  1. Mark Gelassi, Jim Davies, James Tyler, Bryan Gough, Gerard Jungman, Patrick Alken, Michael Booth, Fabrice Rossi,
    GNU Scientific Library Reference Manual,
    Network Theory Ltd, Third Edition, 2009,
    ISBN: 0954612078.
  2. Olde Daalhuis, Adri B. (2010),
    "Hypergeometric function",
    in Olver, Frank W. J.; Lozier, Daniel M.; Boisvert, Ronald F.
    Clark, Charles W. (eds.),
    NIST Handbook of Mathematical Functions,
    Cambridge University Press, ISBN 978-0-521-19225-5.
    https://dlmf.nist.gov/15

Source Code:


Last revised on 26 December 2023.