Computational problems of multivariate hypergeometric theory

DOI10.1134/S0361768818020093zbMath1458.68286OpenAlexW2798316719WikidataQ129970321 ScholiaQ129970321MaRDI QIDQ2216876

Timour Sadykov

Publication date: 17 December 2020

Published in: Programming and Computer Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0361768818020093

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Numerical approximation and evaluation of special functions (33F05)

Related Items (1)

Upper Bounds for the Analytic Complexity of Puiseux Polynomial Solutions to Bivariate Hypergeometric Systems

Uses Software

• Macaulay2
• Mathematica
• Risa/Asir

Cites Work

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• On the analytic complexity of discriminants
• Algebraicity of solutions to the Mellin system and its monodromy
• Subanalytic solutions of linear difference equations and multidimensional hypergeometric sequences
• Rational solutions of linear difference equations: universal denominators and denominator bounds
• Linear recurrences with constant coefficients: The multivariate case
• Search of rational solutions to differential and difference systems by means of formal series
• Maximally reducible monodromy of bivariate hypergeometric systems
• The Structure of Bivariate Rational Hypergeometric Functions
• Singularities of hypergeometric functions in several variables
• Bases in the solution space of the Mellin system
• On solutions and Waring’s formulas for systems of $n$ algebraic equations for $n$ unknowns

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