Variants of <i>q</i>-Hypergeometric Equation

DOI10.1619/fesi.65.159OpenAlexW4285586198WikidataQ113739682 ScholiaQ113739682MaRDI QIDQ5094112

Kouichi Takemura, Tomoki Sato, Naoya Hatano, Ryuya Matsunawa

Publication date: 2 August 2022

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

Full work available at URL: https://arxiv.org/abs/1910.12560

zbMATH Keywords

series solutiondegenerationhypergeometric function\(q\)-hypergeometric equation\(q\)-Heun equation

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Difference equations, scaling ((q)-differences) (39A13)

Related Items (1)

On \(q\)-middle convolution and \(q\)-hypergeometric equations

Cites Work

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• On \(q\)-deformations of the Heun equation
• Variants of confluent \(q\)-hypergeometric equations
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• Integrability of difference Calogero–Moser systems
• Spectral Types of Linear $q$-Difference Equations and $q$-Analog of Middle Convolution
• Degenerations of Ruijsenaars–van Diejen operator and q-Painlevé equations
• Beiträge zur Theorie der Heineschen Reihen. Die 24 Integrale der hypergeometrischen q‐Differenzengleichung. Das q‐Analogon der Laplace‐Transformation

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