Evaluation of beta integrals of Ramanujan type and integral representations for bilateral hypergeometric series
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866910686550949888 |
|---|---|
| author | Cohl, Howard Volkmer, Hans |
| author_facet | Cohl, Howard Volkmer, Hans |
| contents | In this paper we evaluate integrals of products of gamma functions of Ramanujan type in terms of bilateral hypergeometric series. In cases where the bilateral hypergeometric series are summable, then we evaluate these integral as beta integrals. In addition, we obtain integral representations for bilateral hypergeometric series. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_03574 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Evaluation of beta integrals of Ramanujan type and integral representations for bilateral hypergeometric series Cohl, Howard Volkmer, Hans Classical Analysis and ODEs In this paper we evaluate integrals of products of gamma functions of Ramanujan type in terms of bilateral hypergeometric series. In cases where the bilateral hypergeometric series are summable, then we evaluate these integral as beta integrals. In addition, we obtain integral representations for bilateral hypergeometric series. |
| title | Evaluation of beta integrals of Ramanujan type and integral representations for bilateral hypergeometric series |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2411.03574 |