Digital Library of Mathematical Functions
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30 Spheroidal Wave FunctionsComputation

§30.18 Software

Contents

§30.18(i) Introduction

In §§30.18(ii) and 30.18(iii) 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. Also, the following Maple programs were provided by the author.

SWF1: λnm(γ2).

SWF2: Psnm(x,γ2).

SWF3: Qsnm(x,γ2).

SWF4: Snm(j)(z,γ), j=1,2.

SWF5: Knm(γ) in §30.11(v).

SWF6: ϕn(t) and Λn in §30.15(i).

SWF7: Coefficients βp in (30.9.1).

SWF8: Coefficients cp in (30.9.4).

SWF9: Coefficients p in (30.3.8).

Precision in SWF1-6 is adjustable. Programs SWF7-9 use symbolic algebra.

§30.18(ii) Eigenvalues λnm(γ2)

  • Falloon (2001). Mathematica.

  • Li et al. (1998a). Mathematica.

§30.18(iii) Spheroidal Wave Functions

  • Beu and Câmpeanu (1983a, b). Fortran.

  • Falloon (2001). Mathematica.

  • Li et al. (1998a). Mathematica.

See also King et al. (1970), King and Van Buren (1970), Van Buren et al. (1970), and Van Buren et al. (1972).