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Zbl 0815.65030
Lozier, D.W.; Olver, F.W.J.
Numerical evaluation of special functions. (English)
[A] Gautschi, Walter (ed.), Mathematics of computation, 1943-1993: a half- century of computational mathematics. Mathematics of computation 50th anniversary symposium, August 9-13, 1993, Vancouver, Canada. Providence, RI: American Mathematical Society. Proc. Symp. Appl. Math. 48, 79-125 (1994). ISBN 0-8218-0291-7/hbk

Summary: Higher transcendental functions continue to play varied and important roles in investigations by engineers, mathematicians, scientists and statisticians. The purpose of this paper is to assist in locating useful approximations and software for the numerical generation of these functions, and to offer some suggestions for future developments in this field.
MSC 2000:
*65D20 Computation of special functions
33-04 Machine computation, programs (special functions)
65-02 Research monographs (numerical analysis)
33-00 Reference works (special functions)

Keywords: survey article; higher transcendental functions; airy functions; error functions; Dawson's integral; Fresnel integrals; exponential integrals; logarithmic integral; sine and cosine integrals; gamma, psi and polygamma functions; Landau density; distribution functions; polylogarithms; zeta function; Bessel functions; Coulomb wave functions; elliptic integrals and functions; Fermi-Dirac, Bose-Einstein and Debye integrals; hypergeometric and confluent hypergeometric functions; incomplete Bessel functions; incomplete beta function; incomplete gamma functions; generalized exponential integral; Legendre functions; associated Legendre functions; Mathieu, Lamé and spheroidal wave functions; orthogonal polynomials; generalized polylogarithms; Struve and Anger-Weber functions; Weber parabolic cylinder functions; generalized zeta function; software

Cited in: Zbl 1082.33012 Zbl 0873.68100 Zbl 0865.33001

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