On two Thomae-type transformations for hypergeometric series with integral parameter differences
Kim, Yong Sup ; Rathie, Arjun ; Paris, Richard Bruce
Mathematical Communications, Tome 19 (2014) no. 1, p. 111-118 / Harvested from Mathematical Communications
Text on Mathematical Communications
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.
Publié le : 2014-06-10
Classification:  generalized hypergeometric series, Thomae transformations, generalized Euler-type transformations,  33C05, 33C20 
@article{mc409,
     author = {Kim, Yong Sup and Rathie, Arjun and Paris, Richard Bruce},
     title = {On two Thomae-type transformations for hypergeometric series with integral parameter differences},
     journal = {Mathematical Communications},
     volume = {19},
     number = {1},
     year = {2014},
     pages = { 111-118},
     language = {eng},
     url = {http://dml.mathdoc.fr/item/mc409}
}

Kim, Yong Sup; Rathie, Arjun; Paris, Richard Bruce. On two Thomae-type transformations for hypergeometric series with integral parameter differences. Mathematical Communications, Tome 19 (2014) no. 1, pp.  111-118. http://gdmltest.u-ga.fr/item/mc409/