Formulas for Computing Euler-Type Integrals and Their Application to the Problem of Constructing a Conformal Mapping of Polygons

This paper deals with Euler-type integrals and the closely related Lauricella function , which is a hypergeometric function of many complex variables . For new analytic continuation formulas are found that represent it in the form of Horn hypergeometric series exponentially converging in correspondi...

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Bibliographic Details
Published in:	Computational mathematics and mathematical physics Vol. 63; no. 11; pp. 1955 - 1988
Main Author:	Bezrodnykh, S. I.
Format:	Journal Article
Language:	English
Published:	Moscow Pleiades Publishing 01.11.2023 Springer Nature B.V
Subjects:	Complex variables Computation Computational Mathematics and Numerical Analysis Conformal mapping Convergence General Numerical Methods Geometry Hypergeometric functions Hyperplanes Identities Integrals Mathematics Mathematics and Statistics Partial differential equations Polygons Variables analytic continuation Schwarz–Christoffel integral crowding effect Lauricella and Horn functions Euler-type hypergeometric integrals
ISSN:	0965-5425, 1555-6662
Online Access:	Get full text
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