Variants of confluent q-hypergeometric equations

Abstract

Variants of the q-hypergeometric equation were introduced in our previous paper with Hatano. In this paper, we consider degenerations of the variant of the q-hypergeometric equation, which is a q-analogue of confluence of singularities in the setting of the differential equation. We also consider degenerations of solutions to the q-difference equations.

17 pages

References in corpus (4)

• Degenerations of Ruijsenaars-van Diejen operator and q-Painleve equations
• On $q$-deformations of the Heun equation
• A unified approach to $q$-special functions of the Laplace type
• Variants of $q$-hypergeometric equation

Cited by in corpus (2)

• Variants of $q$-hypergeometric equation
• q-Heun equation and initial-value space of q-Painlevé equation