SPECIAL_FUNCTIONS, a FORTRAN77 code which computes the value of various special functions, by Shanjie Zhang, Jianming Jin.
The library includes functions for the Beta, Error, Gamma, Lambda, Psi functions, for the Airy, Bessel I, J, K and Y, Hankel, Jacobian elliptic, Kelvin, Mathieu, Struve functions, for spheroidal angular functions, parabolic cylinder functions, hypergeometric functions, for the Bernoulli and Euler numbers, for the Hermite, Laguerre and Legendre polynomials, for the cosine, elliptic, exponential, Fresnel and sine integrals.
Jianming Jin makes the text of the original FORTRAN77 source code available at
http://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 FORTRAN77 version and
a FORTRAN90 version.
CORDIC,
a FORTRAN77 library which
uses the CORDIC method to compute certain elementary functions.
FN,
a FORTRAN77 library which
evaluates elementary and special functions,
by Wayne Fullerton.
POLPAK,
a FORTRAN77 library which
evaluates certain mathematical functions, especially some
recursive polynomial families.
SLATEC,
a FORTRAN90 library which
evaluates many special functions.
SPECFUN,
a FORTRAN77 library 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 FORTRAN77 library which
contains a few test values of many functions.
TOMS644,
a FORTRAN77 library which
evaluates the Bessel I, J, K, Y functions, the Airy functions Ai and Bi,
and the Hankel function, for complex argument and real order.
TOMS715,
a FORTRAN77 library 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.