New expansions for certain 2F l's as a sum of r higher order hypergeometric series are given. When specialized to the binomial theorem, these r hypergeometric series sum. The results represent cubic and higher order transformations, and only Vandermonde's theorem is necessary for the elementary proof. Some q-analogues are also given.
|Original language||English (US)|
|Title of host publication||THEORY AND APPLICATIONS OF SPECIAL FUNCTIONS|
|Editors||ISMAIL MOURAD, ERIK KOELINK|
|Number of pages||9|
|State||Published - Dec 1 2005|
|Name||Developments in Mathematics|