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Beyond the Beta Integral Method: Transformation Formulas for Hypergeometric Functions via Meijer's G Function
| Content Provider | MDPI |
|---|---|
| Author | Karp, Dmitrii Prilepkina, Elena |
| Copyright Year | 2022 |
| Description | The beta integral method proved itself as a simple but nonetheless powerful method for generating hypergeometric identities at a fixed argument. In this paper, we propose a generalization by substituting the beta density with a particular type of Meijer’s G function. By the application of our method to known transformation formulas, we derive about forty hypergeometric identities, the majority of which are believed to be new. |
| Starting Page | 1541 |
| e-ISSN | 20738994 |
| DOI | 10.3390/sym14081541 |
| Journal | Symmetry |
| Issue Number | 8 |
| Volume Number | 14 |
| Language | English |
| Publisher | MDPI |
| Publisher Date | 2022-07-27 |
| Access Restriction | Open |
| Subject Keyword | Symmetry Mathematical Social Sciences Generalized Hypergeometric Function Hypergeometric Identity Miller–paris Transformations Summation Formulas Meijer's G Function |
| Content Type | Text |
| Resource Type | Article |
