查询词典 hypergeometric series

By using the expansion of spherical wave functions for a cylindrical wave function and with the help of the theory of hypergeometric functions, the Sommerfeld type integral contained in the electromagnetic fields is expressed as a rapidly and absolutely convergent series of spherical wave functions; and the coefficients of the series are the Legender Polynomials with the complex argument for the constitutive parameter.

应用圆柱波函数的球面波展开式和超几何函数理论，场分量中的索末菲尔德型积分被表示成快速、绝对收敛的球面波函数系展开式；展开系数是以物性参数为复宗量的勒让德多项式。

By using the expansion of spherical wave functions for a cylindrical wave function and with the help of the theory of hypergeometric functions, the Sommerfeld type integral contained in the electromagnetic fields is expressed as a rapidly and absolutely convergent series of spherical wave functions; and the coefficients of the series are the Legender Polyno...

应用圆柱波函数的球面波展开式和超几何函数理论，场分量中的索末菲尔德型积分被表示成快速、绝对收敛的球面波函数系展开式；展开系数是以物性参数为复宗量的勒让德多项式。

In the thesis, the basic knowledge of the basic hypergeometric series, some results of the Rogers-Ramanujan type identities and its applications in number theory are studied.

本文主要介绍了基本超几何级数的基本内容，关于Rogers-Ramanujan类型恒等式的一些结果以及基本超几何级数在数论中的若干应用。

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。

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。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。