Name
Abstract | ||
|---|---|---|
By applying various known summation theorems to a general formula based upon Bailey's transform theorem due to Slater, Exton has obtained numerous new quadratic transformations involving hypergeometric functions of two and of higher order. Some of the results have typographical errors and have been corrected recently by Choi and Rathie. In addition, two new quadratic transformation formulae were also obtained [Junesang Choi, A.K. Rathie, Quadratic transformations involving hypergeometric functions of two and higher order, EAMJ, East Asian Math. J. 22 (2006) 71-77]. The aim of this research paper is to obtain a generalization of one of the Exton's quadratic transformation. The results are derived with the help of generalized Kummer's theorem obtained earlier by Lavoie, Grondin and Rathie. As special cases, we mention six interesting results closely related to that of Exton's result. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.amc.2009.04.071 | Applied Mathematics and Computation |
Keywords | Field | DocType |
quadratic transformation,kummer–type transformations,kummer-type transformations,bailey’s transform,bailey's transform,hypergeometric function of order two,hypergeometric function,higher order | Hypergeometric function,Mathematical optimization,Algebra,Mathematical analysis,Quadratic equation,Numerical analysis,Typographical error,Mathematics | Journal |
Volume | Issue | ISSN |
215 | 1 | Applied Mathematics and Computation |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Tibor Pogány | 1 | 32 | 13.73 |
| Arjun K. Rathie | 2 | 1 | 2.98 |