TWO GENERAL HYPERGEOMETRIC TRANSFORMATION FORMULAS

- Journal title : Communications of the Korean Mathematical Society
- Volume 29, Issue 4, 2014, pp.519-526
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/CKMS.2014.29.4.519

Title & Authors

TWO GENERAL HYPERGEOMETRIC TRANSFORMATION FORMULAS

Choi, Junesang; Rathie, Arjun K.;

Choi, Junesang; Rathie, Arjun K.;

Abstract

A large number of summation and transformation formulas involving (generalized) hypergeometric functions have been developed by many authors. Here we aim at establishing two (presumably) new general hypergeometric transformations. The results are derived by manipulating the involved series in an elementary way with the aid of certain hypergeometric summation theorems obtained earlier by Rakha and Rathie. Relevant connections of certain special cases of our main results with several known identities are also pointed out.

Keywords

gamma function;hypergeometric function;generalized hypergeometric function;Kamp de Friet function;Kummer's second summation theorem;Dixon and Whipple's summation theorems;

Language

English

References

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