Digital Library of Mathematical Functions
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8 Incomplete Gamma and Related FunctionsComputation

§8.28 Software

Contents

§8.28(i) Introduction

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. For another listing of Web-accessible software for the functions in this chapter, see GAMS Class C7e.

§8.28(ii) Incomplete Gamma Functions for Real Argument and Parameter

  • DiDonato and Morris (1987). Fortran.

  • Gautschi (1979a). Fortran.

  • Moore (1982). Fortran.

  • Shea (1988). Fortran.

  • Smith (2001). Fortran.

See also Fullerton (1972), Phien (1988), Spellucci and Pulay (1975), and Temme (1994a).

§8.28(iii) Incomplete Gamma Functions for Complex Argument and Parameter

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

§8.28(iv) Incomplete Beta Functions for Real Argument and Parameters

  • Abernathy and Smith (1993). Fortran.

  • Chattamvelli and Shanmugam (1997). Fortran.

  • DiDonato and Morris (1992). Fortran.

  • Majumder and Bhattacharjee (1973). Fortran.

  • Smith (2001). Fortran.

See also Dorrer (1968), Gautschi (1964a), Hill (1970), Levine (1969), Morris (1969), and Phien (1990).

§8.28(v) Incomplete Beta Functions for Complex Argument and Parameters

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

§8.28(vi) Generalized Exponential Integral for Real Argument and Integer Parameter

  • Amos (1980a). Fortran.

See also Chiccoli et al. (1990a, b), Gautschi (1973), and Stegun and Zucker (1974),

§8.28(vii) Generalized Exponential Integral for Complex Argument and/or Parameter

  • Amos (1990). Fortran.

For other software see the Software Index.