Convergence of two-dimensional hypergeometric series for algebraic functions

DOI10.1080/10652469.2020.1756794zbMath1472.33009OpenAlexW3016748194MaRDI QIDQ4987031

August Tsikh, A. N. Cherepanskiy

Publication date: 28 April 2021

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: http://elib.sfu-kras.ru/handle/2311/143138

zbMATH Keywords

hypergeometric seriesalgebraic equationsamoebaHorn-Kapranov parameterization

Mathematics Subject Classification ID

Other hypergeometric functions and integrals in several variables (33C70) Power series, series of functions of several complex variables (32A05) Special domains (Reinhardt, Hartogs, circular, tube, etc.) in (mathbb{C}^n) and complex manifolds (32Q02)

Related Items (1)

A survey on computational aspects of polynomial amoebas

Cites Work

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• Analytic continuations of a general algebraic function by means of Puiseux series
• A characterization of A-discriminantal hypersurfaces in terms of logarithmic Gauss map
• Solving algebraic equations in terms of \(\mathcal A\)-hypergeometric series
• Studying the multiple Mellin--Barnes integrals by means of multidimensional residues
• Rational expressions for multiple roots of algebraic equations
• Singularities of hypergeometric functions in several variables
• Bases in the solution space of the Mellin system
• Domains of Convergence for A-hypergeometric Series and Integrals

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