Hypergeometric Series and the Mellin-Barnes Integrals for Zeros of a System of Laurent Polynomials

DOI10.17516/1997-1397-2020-13-1-87-96OpenAlexW3008900801MaRDI QIDQ5859190

V. R. Kulikov

Publication date: 16 April 2021

Published in: Journal of Siberian Federal University. Mathematics & Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/jsfu821

zbMATH Keywords

hypergeometric seriesLaurent polynomialsMellin-Barnes integrals

Mathematics Subject Classification ID

Holomorphic functions of several complex variables (32Axx) Curves in algebraic geometry (14Hxx) Hypergeometric functions (33Cxx) Integral transforms, operational calculus (44Axx)

Cites Work

• Studying the multiple Mellin--Barnes integrals by means of multidimensional residues
• A criterion for the convergence of the Mellin-Barnes integral for solutions to simultaneous algebraic equations
• Inversion of many-dimensional Mellin transforms and solutions of algebraic equations
• On solutions and Waring’s formulas for systems of $n$ algebraic equations for $n$ unknowns
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