§25.21 Software

Permalink:: http://dlmf.nist.gov/25.21

Contents

§25.21(i) Introduction
§25.21(ii) Zeta Functions for Real Arguments
§25.21(iii) Zeta Functions for Complex Arguments
§25.21(iv) Hurwitz Zeta Function
§25.21(v) Dilogarithms, Polylogarithms
§25.21(vi) Clausen’s Integral
§25.21(vii) Fermi–Dirac and Bose–Einstein Integrals
§25.21(viii) Lerch’s Transcendent
§25.21(ix) Dirichlet $L$ -series

§25.21(i) Introduction

Permalink:: http://dlmf.nist.gov/25.21.i

In this section we provide links to the research literature describing the implementation of algorithms in software for the evaluation of functions described in this chapter. Citations in bulleted lists refer to papers for which research software has been made available and can be downloaded via the Web. References to research software that is available in other ways is listed separately.

A more complete list of available software for computing these functions is found in the Software Index.

§25.21(ii) Zeta Functions for Real Arguments

Referenced by:: § ‣ § Software Cross Index
Permalink:: http://dlmf.nist.gov/25.21.ii

Brent (1978b). Fortran.

See also Markman (1965).

§25.21(iii) Zeta Functions for Complex Arguments

Referenced by:: § ‣ § Software Cross Index
Permalink:: http://dlmf.nist.gov/25.21.iii

Bañuelos and Depine (1980). Fortran.

See also Yeremin et al. (1988).

§25.21(iv) Hurwitz Zeta Function

Referenced by:: § ‣ § Software Cross Index
Permalink:: http://dlmf.nist.gov/25.21.iv

No research software has been found for these functions. For other software see the Software Index.

§25.21(v) Dilogarithms, Polylogarithms

Referenced by:: § ‣ § Software Cross Index
Permalink:: http://dlmf.nist.gov/25.21.v

Brent (1978b). Fortran.
Ginsberg and Zaborowski (1975). Fortran.

See also Kölbig (1968).

§25.21(vi) Clausen’s Integral

Referenced by:: § ‣ § Software Cross Index
Permalink:: http://dlmf.nist.gov/25.21.vi

See §25.12(i).

MacLeod (1996a). Fortran.

§25.21(vii) Fermi–Dirac and Bose–Einstein Integrals

Referenced by:: § ‣ § Software Cross Index
Permalink:: http://dlmf.nist.gov/25.21.vii

Antia (1993). Fortran.
Bañuelos et al. (1981). Fortran.
Cloutman (1989). Fortran.
Fullerton and Rinker (1986). Fortran.
Gautschi (1993). Fortran.
Goano (1995). Fortran.
Gong et al. (2001). Fortran.
MacLeod (1996a). Fortran.
MacLeod (1998). Fortran.

See also Thompson (1996) and Trellakis et al. (1997).

§25.21(viii) Lerch’s Transcendent

Referenced by:: § ‣ § Software Cross Index
Permalink:: http://dlmf.nist.gov/25.21.viii

Aksenov et al. (2003).

§25.21(ix) Dirichlet $L$ -series

Referenced by:: § ‣ § Software Cross Index
Permalink:: http://dlmf.nist.gov/25.21.ix

No research software has been found for these functions. For other software see the Software Index.