Study of <i>q</i>-Garnier System by Padé Method

DOI10.1619/fesi.61.109zbMath1423.14218arXiv1601.01099OpenAlexW2963501215MaRDI QIDQ5234832

Hidehito Nagao, Yasuhiko Yamada

Publication date: 4 October 2019

Published in: Funkcialaj Ekvacioj (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.01099

zbMATH Keywords

Padé methodQRT system\(q\)-Garnier system\(q\)-Appell Lauricella functiongeneralized \(q\)-hypergeometric function

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Approximation by rational functions (41A20) Padé approximation (41A21) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Relationships between algebraic curves and integrable systems (14H70) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Interpolation in approximation theory (41A05) Difference equations, scaling ((q)-differences) (39A13) Multiplicative and other generalized difference equations (39A20) Other basic hypergeometric functions and integrals in several variables (33D70)

Related Items

Theory and applications of the elliptic Painlevé equation ⋮ Quantum representation of affine Weyl groups and associated quantum curves ⋮ Variations of theq-Garnier system ⋮ On \(q\)-isomonodromic deformations and \(q\)-Nekrasov functions ⋮ The Padé interpolation method applied to additive difference Painlevé equations ⋮ A Lax formulation of a generalized \(q\)-Garnier system ⋮ An affine Weyl group action on the basic hypergeometric series arising from the \(q\)-Garnier system

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