paper

Degenerations of -Heun equation

arXiv:2505.06857

Abstract

We obtain several degenerations of the -Heun equation by considering the linear -difference equations associated to several -Painlevé equations. We establish definitions of the confluent -Heun equation, the biconfluent -Heun equation and the doubly confluent -Heun equation, and investigate limit procedures to the corresponding differential equations.

arXiv comment22 pages