Reduction formulae for the Lauricella functions in several variables

Journal of inequalities and applications

Junesang Choi¹ 

关键词: gamma function;    Pochhammer symbol;    generalized Lauricella series;    multiple series identities;    Kummer’s second summation theorem;    generalized Kummer’s second summation theorem;   

DOI  :  10.1186/1029-242X-2013-312

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The main objective of this paper is to show how one can obtain several interesting reduction formulae for Lauricella functions from a multiple hypergeometric series identity established earlier by Jaimini et al. The results are derived with the help of generalized Kummer’s second summation formulas obtained earlier by Lavoi et al. Some special cases of our main result are explicitly demonstrated. MSC:33C70, 33C065, 33C90, 33C05.

【 授权许可】

CC BY