All-order epsilon-expansions of hypergeometric functions of one variable

Bernd A.Kniehl (Hamburg U.; Inst. Theor. Phys. II); Inst. Theor. Phys. II & Dubna; JINR); Mikhail Yu. Kalmykov (Hamburg U.

All-order epsilon-expansions of hypergeometric functions of one variable

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arxiv 1003.1965 v1 pith:7VPWHKGR submitted 2010-03-09 math-ph hep-phhep-thmath.MP

Mikhail Yu. Kalmykov (Hamburg U. , Inst. Theor. Phys. II & Dubna , JINR) , Bernd A.Kniehl (Hamburg U. , Inst. Theor. Phys. II) This is my paper · ORCID

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keywords all-orderepsilon-expansionsfunctionshypergeometricbrieflyconcerninggeneralizedparameters

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We briefly sketch a proof concerning the structure of the all-order epsilon-expansions of generalized hypergeometric functions with special sets of parameters.

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$\texttt{PrecisionLauricella}$: package for numerical computation of Lauricella functions depending on a parameter
cs.MS 2025-02 conditional novelty 4.0 of 10

PrecisionLauricella is a Mathematica package that computes epsilon-expansions of Lauricella F_A, F_B, and F_D functions for n up to 3 using Frobenius-series analytic continuation.

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