双变量基本超几何级数的若干变换与求和公式

On Some Transformation and Summation Formulae for Bivariate Basic Hypergeometric Series

中文关键词:  基本超几何级数  Watson's $q$-Whipple变换  级数重排.

英文关键词:basic hypergeometric series  Watson's $q$-Whipple transformation  series rearrangement.

中文摘要:

      本文通过级数重排技巧,建立了几个双边基本超几何级数变换公式,从这些公式出发,得到了几个有趣的求和公式.

英文摘要:

      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.