A criterion for the convergence of the Mellin-Barnes integral for solutions to simultaneous algebraic equations

DOI10.1134/S0037446617030120zbMath1372.32008OpenAlexW2674857069WikidataQ124817997 ScholiaQ124817997MaRDI QIDQ2400740

V. R. Kulikov

Publication date: 30 August 2017

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446617030120

zbMATH Keywords

hypergeometric functionsalgebraic equationsMellin-Barnes integral

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Integral transforms of special functions (44A20) Discrete version of topics in analysis (39A12) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (2)

Hypergeometric Series and the Mellin-Barnes Integrals for Zeros of a System of Laurent Polynomials ⋮ Analytic Continuation for Solutions to the System of Trinomial Algebraic Equations

Cites Work

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• On a multidimensional system of hypergeometric differential equations
• Studying the multiple Mellin--Barnes integrals by means of multidimensional residues
• The discriminant locus of a system of $ n$ Laurent polynomials in $ n$ variables
• Mellin transforms and algebraic functions
• Inversion of many-dimensional Mellin transforms and solutions of algebraic equations
• Singularities of hypergeometric functions in several variables
• Bases in the solution space of the Mellin system
• A Partition Theorem for Euclidean n-Space

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