On the Triple Lauricella–Horn–Karlsson <i>q</i>-Hypergeometric Functions
The Horn–Karlsson approach to find convergence regions is applied to find convergence regions for triple <i>q</i>-hypergeometric functions. It turns out that the convergence regions are significantly increased in the <i>q</i>-case; just as for <i>q</i>-Appell and...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-07-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/9/3/93 |
| Summary: | The Horn–Karlsson approach to find convergence regions is applied to find convergence regions for triple <i>q</i>-hypergeometric functions. It turns out that the convergence regions are significantly increased in the <i>q</i>-case; just as for <i>q</i>-Appell and <i>q</i>-Lauricella functions, additions are replaced by Ward <i>q</i>-additions. Mostly referring to Krishna Srivastava 1956, we give <i>q</i>-integral representations for these functions. |
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| ISSN: | 2075-1680 |