Formulas for Computing the Lauricella Function in the Case of Crowding of Variables

For the Lauricella function , which is a hypergeometric function of several complex variables , analytic continuation formulas are constructed that correspond to the intersection of an arbitrary number of singular hyperplanes of the form , , These formulas give an expression for the considered funct...

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Vydáno v:	Computational mathematics and mathematical physics Ročník 62; číslo 12; s. 2069 - 2090
Hlavní autor:	Bezrodnykh, S. I.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Moscow Pleiades Publishing 01.12.2022 Springer Nature B.V
Témata:	Complex variables Computational Mathematics and Numerical Analysis Conformal mapping Hypergeometric functions Hyperplanes Mathematics Mathematics and Statistics Partial Differential Equations analytic continuation crowding effect Lauricella and Horn functions hypergeometric functions of several variables
ISSN:	0965-5425, 1555-6662
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