special_functions, a Fortran90 code which evaluates special functions, including Airy, Associated Legendre Bessel, Beta, Complete Elliptic Integral, Confluent Hypergeometric, Cosine Integral, Elliptic Integral, Error, Exponential Integral, Fresnel Integral, Gamma, Hankel, Hypergeometric, Incomplete Beta, Incomplete Gamma, Jacobian Elliptic, Kelvin, Lambda, Legendre, Mathieu, Modified Spherical Bessel, Parabolic Cylinder, Psi, Riccati-Bessel, Sine Integral, Spheroidal Wave, Struve, Whittaker, as well as Bernoulli Numbers, Euler Numbers, Hermite Polynomials, Laguerre Polynomials, Legendre Polynomials, by Shanjie Zhang, Jianming Jin.
Jianming Jin makes the text of the original FORTRAN77 source code available at
https://in.ece.illinois.edu/routines/routines.html.
The FORTRAN77 source code of this library is copyrighted by
Shanjie Zhang and Jianming Jin. However, they give permission to
incorporate routines from this library into a user program
provided that the copyright is acknowledged.
special_functions is available in
a FORTRAN90 version.
cordic,
a FORTRAN90 code which
uses the CORDIC method to compute certain elementary functions.
fn,
a FORTRAN90 code which
evaluates elementary and special functions,
by Wayne Fullerton.
polpak,
a FORTRAN90 code which
evaluates certain mathematical functions, especially some
recursive polynomial families.
specfun,
a FORTRAN90 code which
computes special functions, including Bessel I, J, K and Y functions,
and the Dawson, E1, EI, Erf, Gamma, Psi/Digamma functions,
by William Cody and Laura Stoltz;
test_values,
a FORTRAN90 code which
contains a few test values of many functions.
toms715,
a FORTRAN90 code which
evaluates special functions, including the Bessel I, J, K, and Y functions
of order 0, of order 1, and of any real order, Dawson's integral,
the error function, exponential integrals, the gamma function,
the normal distribution function, the psi function.
This is a version of ACM TOMS algorithm 715.
Licensing:
Languages:
Related Data and Programs:
Reference:
Computation of Special Functions,
Wiley, 1996,
ISBN: 0-471-11963-6,
LC: QA351.C45.