查询词典 contiguous confluent hypergeometric function

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。

A transformation formula containing four independent bases is found and applied to derive a few summation formulas for basic hypergeometric series.

由此说明我们又找到了一个新的证明和发现Rogers-Ramanujan型恒等式的有效方法。

In Chapter 3, by means of Carlitz inversion formulas and a transformation of basic hypergeometric series obtained by Chu, we give new proofs for several Rogers-Ramanujan type identities.

第三章：在第二章内容的基础上，使用Carlitz-反演公式和初文昌获得的一个级数变换公式再次证明了许多Rogers-Ramanujan类型恒等式。

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。

By using this method we obtain two gen-eralized transformation formulae of q-integral form,two identities of basic hypergeometric series,as well as formal extensions for q-Pfaff-Saalschütz formula,q-Chu-Vandermonde identity and a three-term transformation formula of _3φ_2-series.

我们推广了两个q-积分形式的变换公式和两个有关基本超几何级数的恒等式，还得到q-Pfaff-Saalschütz公式、q-Chu-Vandermonde恒等式和基本超几何级数中一个有关_3φ_(2~-)级数的三项变换公式等的形式推广。

The theory of orthogonal symmetric polynomials (Jack polynomials, Macdonald's polynomials and others) and multivariate hypergeometric functions associated to symmetric polynomials are treated.

对称的正交多项式理论（杰克多项式，麦克唐纳的多项式等）及相关的多元对称多项式超几何函数的待遇。

Fostering the concept of multi-culture firmly and mastering the development of advanced culture correctly are conductive to resisting terrorism, separatism of nationalities and ultraism of religion, which is of great academic theoretical, immediate and profound historical si...

牢固树立多元文化的理念和正确把握先进文化的发展方向，有助于在世界范围内自觉地抵制恐怖主义，民族分裂主义和宗教极端主义。不仅具有重大的学术理论意义，而且也具有重大的现实意义和深远的历史意义。

But if anyone walks in the night, he stumbles, because the light is not in him.

11：10 若在黑夜行走，就必碰跌，因为那光不在他里面。