Formulas for computing Euler-type integrals and their application to the problem of constructing a conformal mapping of polygons

DOI10.1134/s0965542523110052OpenAlexW4390202487MaRDI QIDQ6148030

S. I. Bezrodnykh

Publication date: 11 January 2024

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542523110052

zbMATH Keywords

analytic continuationcrowding effectSchwarz-Christoffel integralLauricella and Horn functionsEuler-type hypergeometric integrals

Mathematics Subject Classification ID

Conformal mappings of special domains (30C20) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Appell, Horn and Lauricella functions (33C65) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)

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