TOMS715
Special Functions


TOMS715 is 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:

The computer code and data files made available on this web page are distributed under the GNU LGPL license.

Languages:

TOMS715 is available in a FORTRAN77 version and a FORTRAN90 version.

Related Data and Programs:

FN, a FORTRAN77 library which approximates elementary and special functions using Chebyshev polynomials; functions include Airy, Bessel I, J, K and Y, beta, confluent hypergeometric, error, gamma, log gamma, Pochhammer, Spence; integrals include hyperbolic cosine, cosine, Dawson, exponential, logarithmic, hyperbolic sine, sine; by Wayne Fullerton.

SPECFUN, a FORTRAN77 library which computes special functions, including Bessel I, J, K and Y functions, and the Dawson, E1, EI, Erf, Gamma, log Gamma, Psi/Digamma functions, by William Cody and Laura Stoltz;

SPECIAL_FUNCTIONS, a FORTRAN77 library which computes the Beta, Error, Gamma, Lambda, Psi functions, the Airy, Bessel I, J, K and Y, Hankel, Jacobian elliptic, Kelvin, Mathieu, Struve functions, spheroidal angular functions, parabolic cylinder functions, hypergeometric functions, the Bernoulli and Euler numbers, the Hermite, Laguerre and Legendre polynomials, the cosine, elliptic, exponential, Fresnel and sine integrals, by Shanjie Zhang, Jianming Jin;

TOMS511, a FORTRAN77 library which can evaluate Bessel I or J functions of real (non integer) order, This is a version of ACM TOMS Algorithm 515;

TOMS597, a FORTRAN77 library which can evaluate Bessel I functions of real (non integer) order, This is a version of ACM TOMS Algorithm 597;

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. This is a version of ACM TOMS algorithm 644.

Reference:

  1. William Cody,
    Algorithm 715: SPECFUN - A Portable FORTRAN Package of Special Function Routines and Test Drivers,
    ACM Transactions on Mathematical Software,
    Volume 19, Number 1, March 1993, pages 22-32.

Source Code:

Examples and Tests:

List of Routines:

You can go up one level to the FORTRAN77 source codes.


Last revised on 09 January 2016.