Work

Variants of $q$-hypergeometric equation

Year: 2019

Type: preprint

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

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1910.12560

Authors: Hatano, Naoya, Matsunawa, Ryuya, Sato, Tomoki, Takemura, Kouichi

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Japan Society for the Promotion of Science

Award: Differential equations and difference equations associated with accessory parameters

OpenAlex ID: W2981805604

Cites: 9

Cited by: 2

Related to: 10