On asymptotic expansions for basic hypergeometric functions
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2020
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| _version_ | 1866911307239784448 |
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| author | Patkowski, Alexander E. |
| author_facet | Patkowski, Alexander E. |
| contents | This paper establishes new results concerning asymptotic expansions of $q$-series related to partial theta functions. We first establish a new method to obtain asymptotic expansions using a result of Ono and Lovejoy, and then build on these observations to obtain asymptotic expansions for related multi hypergeometric series. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2006_13052 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | On asymptotic expansions for basic hypergeometric functions Patkowski, Alexander E. Number Theory This paper establishes new results concerning asymptotic expansions of $q$-series related to partial theta functions. We first establish a new method to obtain asymptotic expansions using a result of Ono and Lovejoy, and then build on these observations to obtain asymptotic expansions for related multi hypergeometric series. |
| title | On asymptotic expansions for basic hypergeometric functions |
| topic | Number Theory |
| url | https://arxiv.org/abs/2006.13052 |