Applications of <i>q</i>-Real Numbers to Triple <i>q</i>-Hypergeometric Functions and <i>q</i>-Horn Functions
The purpose of this article is to study how <i>q</i>-real numbers can be used for computations of convergence regions, <i>q</i>-integral representations of certain multiple triple <i>q</i>-Lauricella functions. The corresponding <i>q</i>-difference equ...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-05-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/10/2370 |
| Summary: | The purpose of this article is to study how <i>q</i>-real numbers can be used for computations of convergence regions, <i>q</i>-integral representations of certain multiple triple <i>q</i>-Lauricella functions. The corresponding <i>q</i>-difference equations are also given without proof. In the process, we slightly improve Exton’s original formulas. We also survey the current attempts to generalize the above functions to triple and quadruple hypergeometric functions. Finally, we compute some <i>q</i>-analogues of transformation formulas for Horn functions. |
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| ISSN: | 2227-7390 |