Abstract
The aim of this research paper is to establish a quite general transformation involving hypergeometric functions by the method of elementary manipulation of the series representations. Certain known, as well as new hypergeometric transformations and identities not previously recorded in the literature, are then deduced by means of the generalized Kummer and Dixon theorems obtained earlier by Lavoie et al. An application of a newly obtained identity is also given.
| Original language | English |
|---|---|
| Article number | 445202 |
| Journal | Journal of Physics A: Mathematical and Theoretical |
| Volume | 41 |
| Issue number | 44 |
| DOIs | |
| Publication status | Published - Nov 7 2008 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Modelling and Simulation
- Mathematical Physics
- Physics and Astronomy(all)