By the next morning I had established the existence of a class of Fuchsian functions, those which come from the hypergeometric series;
第二天早上之前，我已经建立好一类Fuchsian函数的存在性证明，这些函数来自于超几何序列；
By using a simple algorithm for the summation of basic hypergeometric series, summation formulas for some basic hypergeometric series are obtained.
本文运用基本超几何级数求和的一个简单算法，求得一些基本超几何级数的求和公式。
This dissertation studies the applications of the inversion techniques and its equivalent form in finding and proving the hypergeometric series identities.
本文探讨了反演技术及其等价的形式在寻求和证明超几何级数恒等式方面的应用。
In Chapter 2, we introduce the basic knowledge of the basic hypergeometric series, including basic concepts, some summation formulas, transformation formulas, etc.
第二章：主要介绍了基本超几何级数的基本知识，包括基本概念，一些重要的求和公式以及变换公式等。
In Chapter 2, we introduce the basic knowledge of the basic hypergeometric series, including basic concepts, some summation formulas, transformation formulas, etc.
第二章：主要介绍了基本超几何级数的基本知识，包括基本概念，一些重要的求和公式以及变换公式等。
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