Hypergeometric solutions for variants of the $q$-hypergeometric equation

Abstract

We introduce a configuration of a $q$-difference equation and characterize the variants of the $q$-hypergeometric equation, which were defined by Hatano-Matsunawa-Sato-Takemura, by configurations. We show integral solutions and series solutions for the variants of the $q$-hypergeometric equation.

38 pages. Incorrect results are deleted in v2

Cited by in corpus (1)

• On $q$-Middle Convolution and $q$-Hypergeometric Equations