High-precision numerical evaluation of Lauricella functions

We present a method for high-precision numerical evaluations of Lauricella functions whose indices are linearly dependent on some parameter ε in terms of their Laurent series expansions at zero. This method is based on finding analytic continuations of these functions in terms of Frobenius generaliz...

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Bibliographic Details
Published in:	Nuclear Physics B
Main Authors:	M.A. Bezuglov, B.A. Kniehl, A.I. Onishchenko, O.L. Veretin
Format:	Article
Language:	English
Published:	Elsevier 2025-09-01
Subjects:	Hypergeometric functions of many variables Lauricella functions High-precision numerical evaluation Analytic continuation
Online Access:	http://www.sciencedirect.com/science/article/pii/S0550321325002032

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