一个含四个独立基的变换公式及其应用(英文)

A Formula Containing Four Independent Bases and Its Applications

中文关键词:  反演关系  基本超几何级数  双基求和公式  变换公式

英文关键词:inverse relations  basic hypergeometric series  bibasic summation formulas  transformation formulas

中文摘要:

      本文利用反演的方法得到了一个四个独立基的变换公式并由此得到了几个新的基本超几何级数求和公式和超几何级数求和公式.

英文摘要:

      A transformation formula containing four independent bases is found by a special inversion formula and it is applied to derive a few summation formulas for basic hypergeometric series only by elementary method. The hypergeometric series, the limits of those formulas are also obtained.