On Some Transformation and Summation Formulae for Bivariate Basic Hypergeometric Series  

双变量基本超几何级数的若干变换与求和公式(英文)

作　　者：张之正 胡秋霞 

机构地区：[1]Department of Mathematics, Luoyang Teachers' College [2]College of Mathematics and Information Science, Henan Normal University

出　　处：《Journal of Mathematical Research and Exposition》2009年第6期1029-1034,共6页数学研究与评论（英文版）

基　　金：the National Natural Science Foundation of China (No.10771093); the Natural Science Foundation of the Education Department of Henan Province (No.2007110025)

摘　　要：The purpose of this paper is to establish several transformation formulae for bivariate basic hypergeometric series by means of series rearrangement technique. From these transformations, some interesting summation formulae are obtained.The purpose of this paper is to establish several transformation formulae for bivariate basic hypergeometric series by means of series rearrangement technique. From these transformations, some interesting summation formulae are obtained.

关 键 词：basic hypergeometric series Watson＇s q-Whipple transformation series rearrange-ment. 

分 类 号：O173[理学—数学] O173.1[理学—基础数学]