On the evaluation of the Appell \(F_2\) double hypergeometric function

DOI10.1016/j.cpc.2022.108589zbMath1530.33026arXiv2111.05798MaRDI QIDQ6100779

Tanay Pathak, B. Ananthanarayan, Samuel Friot, Souvik Bera, O. I. Marichev

Publication date: 22 June 2023

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

Full work available at URL: https://arxiv.org/abs/2111.05798

zbMATH Keywords

double hypergeometric functionsAppell functionsnumerical evaluationHorn functions

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Classical hypergeometric functions, ({}_2F_1) (33C05) Appell, Horn and Lauricella functions (33C65) Numerical approximation and evaluation of special functions (33F05) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)

Related Items (2)

Formulas for computing Euler-type integrals and their application to the problem of constructing a conformal mapping of polygons ⋮ \(\epsilon\)-expansion of multivariable hypergeometric functions appearing in Feynman integral calculus

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