English

Variants of confluent q-hypergeometric equations

Classical Analysis and ODEs 2021-10-27 v2 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.2005.13223,
  title  = {Variants of confluent q-hypergeometric equations},
  author = {Ryuya Matsunawa and Tomoki Sato and Kouichi Takemura},
  journal= {arXiv preprint arXiv:2005.13223},
  year   = {2021}
}

Comments

17 pages

R2 v1 2026-06-23T15:50:46.859Z