Article overview
Abstract
In this paper we introduce a new technique to obtain expansions of basic hypergeometric functions with the help of Bailey's transform and certain known transformations of truncated hypergeometric series. These results do not look possible with the help of the traditional method. Certain interesting special cases, both, new and known, have also been deduced.
Keywords and Phrases
Truncated seriesterminating seriesexpansion of hypergeometric series/functionsBailey's transformbi-basic hypergeometric series.
AMS Subject Classification
33A30, 33D15, 33D20.
Reference information
How to Cite
S.N.Singh, Satya Prakash Singh (2015). On Bailey's Transform and Expansion of Hypergeometric Functions-I. South East Asian Journal of Mathematics and Mathematical Sciences, 11(2), 01-10.