Izvorni znanstveni članak

On two Thomae-type transformations for hypergeometric series with integral parameter differences

Yong Sup Kim ; Department of Mathematics Education, Wonkwang University, Iksan, Korea
Arjun K. Rathie ; Department of Mathematics, Central University of Kerala, Kerala, India
Richard Bruce Paris ; School of Computing, Engineering and Applied Mathematics, University of Abertay Dundee, Dundee, UK

Sažetak

We obtain two new Thomae-type transformations for hypergeometric series with r pairs of numeratorial and denominatorial parameters differing by positive integers.
This is achieved by application of the so-called Beta integral method developed by Krattenthaler and Rao [Symposium on Symmetries in Science (ed. B. Gruber), Kluwer (2004)] to two recently obtained Euler-type transformations. Some special cases are given.

Ključne riječi

generalized hypergeometric series; Thomae transformations; generalized Euler-type transformations

Hrčak ID:

121829

URI

https://hrcak.srce.hr/121829

Datum izdavanja:

26.5.2014.

Posjeta: 1.466 *