几何级数

The main contents of this thesis can be summarized as follows:In Chapter 1, we introduce the development of the basic hypergeometric series.

论文的主要内容如下：第一章：简要地介绍了基本超几何级数的发展概况。

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 1,we first look back the history of hypergeometric series and basic hy-pergeometric series,and then introduce some necessary concepts and notations.

第一章首先回顾超几何级数与基本超几何发展的历史，然后引进一些必要的概念和记号。

In the last chapter we derive new identities frominversion and famous hypergeometric series identities.

在最后一章里，我们利用-反演和一些著名的超几何级数恒等式，得到了一些形式比较漂亮的新的恒等式。

In chapter 4,by the inversion technique and the series rearrangement,we find two kinds of transformation formulae of the basic hypergeometric series.

第四章结合反演技巧和级数重排的方法研究基本超几何级数。

During this period, his research magic square, chain fraction, hypergeometric series , elliptic integrals and some ...

在这段期间，他自己研究魔方阵、连环分数、超几何级数、椭圆积分及一些。。。

During this period, he studies magic square, chain fraction, hypergeometric series , elliptic integrals and some ...

在这段期间，他自己研究魔方阵、连环分数、超几何级数、椭圆积分及一些。。。

In this thesis, we mainly discuss the applications of matrix representation of inverse relations to the WZ theory and to the hypergeometric series identities.

本文主要讨论反演关系的矩阵表示在WZ理论中的一些应用及由-反演和著名的超几何级数恒等式推出形式比较漂亮的新的恒等式。

The main content of this thesis is to find and prove some summation and transformation formulae of basic hypergeometric series by the modified Cauchy method,operator method and inversion techniques,which include many well-known results as special cases,for example,q-Saalschiitz summation formula,Baileys _6ψ_6 summation formula,non-terminating Watson transformation formula and Rogers-Ramanujan identities etc.

本文的主要内容是利用修正的Cauchy方法、算子方法和组合反演技巧来发现和证明一些基本超几何级数求和公式和变换公式，其中包含一些著名的公式，如q-Saalschüz求和公式、Bailey的_6ψ_6求和公式和非终止的Watson变换公式等作为其特殊情况。

With the development of space technology, the data of space remote sensing image are expanded greatly.

随着空间技术的发展，空间遥感图像的数据量呈几何级数增加。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。