Variants of $q$-hypergeometric equation

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.

27 pages, typos corrected, references added

References in corpus (3)

• Degenerations of Ruijsenaars-van Diejen operator and q-Painleve equations
• On $q$-deformations of the Heun equation
• Variants of confluent q-hypergeometric equations

Cited by in corpus (2)

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