Degenerations of $q$-Heun equation
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910937683853312 |
|---|---|
| author | Sato, Chihiro Takemura, Kouichi |
| author_facet | Sato, Chihiro Takemura, Kouichi |
| contents | We obtain several degenerations of the $q$-Heun equation by considering the linear $q$-difference equations associated to several $q$-Painlevé equations. We establish definitions of the confluent $q$-Heun equation, the biconfluent $q$-Heun equation and the doubly confluent $q$-Heun equation, and investigate limit procedures to the corresponding differential equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_06857 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Degenerations of $q$-Heun equation Sato, Chihiro Takemura, Kouichi Classical Analysis and ODEs 39A13 We obtain several degenerations of the $q$-Heun equation by considering the linear $q$-difference equations associated to several $q$-Painlevé equations. We establish definitions of the confluent $q$-Heun equation, the biconfluent $q$-Heun equation and the doubly confluent $q$-Heun equation, and investigate limit procedures to the corresponding differential equations. |
| title | Degenerations of $q$-Heun equation |
| topic | Classical Analysis and ODEs 39A13 |
| url | https://arxiv.org/abs/2505.06857 |