Conical: an extended module for computing a numerically satisfactory pair of solutions of the differential equation for conical functions

DOI10.1016/j.cpc.2017.04.007zbMath1411.65037arXiv1704.01145OpenAlexW2606855881WikidataQ115358348 ScholiaQ115358348MaRDI QIDQ1738912

T. M. Dunster, Amparo Gil, Javier Segura, Nico M. Temme

Publication date: 23 April 2019

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.01145

zbMATH Keywords

algorithmsLegendre functionsnumerical evaluation of special functionsconical functionsreal-valued numerically satisfactory pair of solutions

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Other special orthogonal polynomials and functions (33C47) Numerical approximation and evaluation of special functions (33F05)

Related Items (1)

Conical

Cites Work

• \texttt{GammaCHI}: a package for the inversion and computation of the gamma and chi-square cumulative distribution functions (central and noncentral)
• An improved algorithm and a Fortran 90 module for computing the conical function \(P^m_{-1/2+i\tau}(x)\)
• Computation of a numerically satisfactory pair of solutions of the differential equation for conical functions of non-negative integer orders

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