Variants of q-Hypergeometric Equation

Naoya Hatano; Ryuya Matsunawa; Tomoki Sato; Kouichi Takemura

doi:10.1619/fesi.65.159

Variants of q-Hypergeometric Equation

Naoya Hatano, Ryuya Matsunawa, Tomoki Sato, Kouichi Takemura

Research output: Contribution to journal › Article › peer-review

Abstract

We introduce two variants of the q-hypergeometric equation. We obtain several explicit solutions of the variants of the q-hypergeometric equation. We show that a variant of the q-hypergeometric equation can be obtained by a restriction of the q-Appell equation of two variables.

Original language	English
Pages (from-to)	159-190
Number of pages	32
Journal	Funkcialaj Ekvacioj
Volume	65
Issue number	2
DOIs	https://doi.org/10.1619/fesi.65.159
Publication status	Published - 2022

Keywords

Degeneration
Hypergeometric function
q-Heun equation
q-Hypergeometric equation
Series solution

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Geometry and Topology

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10.1619/fesi.65.159

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title = "Variants of q-Hypergeometric Equation",

abstract = "We introduce two variants of the q-hypergeometric equation. We obtain several explicit solutions of the variants of the q-hypergeometric equation. We show that a variant of the q-hypergeometric equation can be obtained by a restriction of the q-Appell equation of two variables.",

keywords = "Degeneration, Hypergeometric function, q-Heun equation, q-Hypergeometric equation, Series solution",

author = "Naoya Hatano and Ryuya Matsunawa and Tomoki Sato and Kouichi Takemura",

year = "2022",

doi = "10.1619/fesi.65.159",

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AU - Hatano, Naoya

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AU - Sato, Tomoki

AU - Takemura, Kouichi

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Y1 - 2022

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AB - We introduce two variants of the q-hypergeometric equation. We obtain several explicit solutions of the variants of the q-hypergeometric equation. We show that a variant of the q-hypergeometric equation can be obtained by a restriction of the q-Appell equation of two variables.

KW - Degeneration

KW - Hypergeometric function

KW - q-Heun equation

KW - q-Hypergeometric equation

KW - Series solution

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Variants of q-Hypergeometric Equation

Abstract

Keywords

ASJC Scopus subject areas

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