arXiv subjects

Tomoki Sato

Publications and source records attributed to Tomoki Sato.

2 recordsLinked to original sources

arXiv2020

Variants of confluent q-hypergeometric equations

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.

math.CA↗

arXiv2019

Variants of $q$-hypergeometric equation

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.

math.CA↗