Asymptotics for some $q$-hypergeometric polynomials
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909455041429504 |
|---|---|
| author | Mañas-Mañas, Juan F. Moreno-Balcázar, Juan J. |
| author_facet | Mañas-Mañas, Juan F. Moreno-Balcázar, Juan J. |
| contents | We tackle the study of a type of local asymptotics, known as Mehler--Heine asymptotics, for some $q$--hypergeometric polynomials. Some consequences about the asymptotic behavior of the zeros of these polynomials are discussed. We illustrate the results with numerical examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_07138 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Asymptotics for some $q$-hypergeometric polynomials Mañas-Mañas, Juan F. Moreno-Balcázar, Juan J. Classical Analysis and ODEs 33D15, 30C15 We tackle the study of a type of local asymptotics, known as Mehler--Heine asymptotics, for some $q$--hypergeometric polynomials. Some consequences about the asymptotic behavior of the zeros of these polynomials are discussed. We illustrate the results with numerical examples. |
| title | Asymptotics for some $q$-hypergeometric polynomials |
| topic | Classical Analysis and ODEs 33D15, 30C15 |
| url | https://arxiv.org/abs/2501.07138 |