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Beyond the Beta Integral Method: Transformation Formulas for Hypergeometric Functions via Meijer's G Function.
- Source :
-
Symmetry (20738994) . Aug2022, Vol. 14 Issue 8, p1541-1541. 31p. - Publication Year :
- 2022
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *HYPERGEOMETRIC functions
*HYPERGEOMETRIC series
*GENERALIZATION
Subjects
Details
- Language :
- English
- ISSN :
- 20738994
- Volume :
- 14
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Symmetry (20738994)
- Publication Type :
- Academic Journal
- Accession number :
- 158943720
- Full Text :
- https://doi.org/10.3390/sym14081541