hyper_2f1


hyper_2f1, an Octave code which evaluates the hypergeometric function 2F1(a,b,c;x) for real parameters a, b, c and argument x. This function is simply a wrapper for the Gnu Scientific Library function gsl_sf_hyperg_2F1().

Licensing:

The computer code and data files made available on this web page are 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

test_values, an Octave 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. 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
  2. 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.

Source Code:


Last revised on 26 December 2023.