解析函数

We introduce a new space Q_T space of analytic functions on the unit disk in terms of nondecreasing function T :0,∞→

我们介绍一种新的由单位圆盘内解析函数组成的QT空间，其中T为递增函数且T ：0，∞→

In terms of Cauchy s integral formula of analytical complex function and the three order spline function of complex variable, a general boundary solution method is presented for solving the complex potential field of the flow field around a 2D semi infinite body .

采用复解析函数的Cauchy积分公式和物面复势三阶样条函数逼近，提出了一种求解二维半无限体势流绕流问题复势的通用方法。

By means of plane elastic complex variable method and theory of boundary value problems and integral equation.

利用平面弹性复变方法和解析函数边值问题以及积分方程的基本理论，研究不同材料的各向同性弹性长条与半平面的焊接问题，给出了弹性体应力函数封闭形式的

The boundary value problems for holomorphic function are so important branches in the functions of a complex variable.

中文摘要：解析函数的边值问题是复变函数论中极为重要的分支之一。

In this paper,at first we transformed the nonlinear elliptic system of 2m first order equations into the complex form, then by use the results on the Riemann-Hilbert problem for nonlinear elliptic complex equation of first order, the method of continuity, the Schauder fixed-point theorem and the Leray-Schauder theorem, we proved that the modified Riemann-Hilbert boundary value problem for the complex system with some conditions is solvable.

本文先将较一般的多个未知函数的一阶椭圆型实方程组化为复方程组，然后讨论这些复方程组在某些条件下的一些边值问题的可解性。这里所考虑的方程组既包含线性的，也包含非线性的，比广义超解析函数所满足的方程组还要广，又本文主要研究较一般的Riemann-Hilbert边值问题，先给出这种边值问题解的先验估计式，然后用参数开拓法及Leray-Schauder定理证明这种边值问题的可解性结果。

Comprehensively analysis of the notes of Weierstrass\' students on the lecture of "Introduction to analytic function", function theoretic system is clearly reconstructed.

详尽分析了魏尔斯特拉斯学生的"解析函数导论"课堂笔记，更加清晰地重构魏尔斯特拉斯函数理论体系。

The semi-analytic formula was taken as an interpolation function near crack tip notch and the degree of freedom near the notch tip were transformed into a set of generalized coordinates by means of series expansion formulas of displacement field.

该方法将半解析函数作为插值函数，将缺口尖端附近的自由度通过位移场的扩展公式转化为一组广义坐标。

In the chapter 7, by virtue of Ky Fan's results in operator spectral theory, we convert several meaningful conclustions in the theory of Holomorphic fucntions into the corresponding results of operator functions in Hilbert space.

在第7章中，我们应用算子谱集理论中的Ky Fan关于Von Neauman不等式的一个结果，把解析函数论中一些有意义的结论转化到Hilbert空间的算子函数上来建立相应的结果。

Finally, A class of inverse Riemann boundary value problem for bianalytic functions on the real axis is proposed.

先消去参变未知函数，再采用易于推广的矩阵形式记法，可把该问题转化为两个实轴上的解析函数Riemann边值问题。

Based on different linear operators, some of the properties and characteristics of p-valent analytic functions and meromorphic multivalent functions were investigated extensively in this paper.

近年来，基于不同的线性算子，某些p叶解析函数类或亚纯函数类的性质和特征被广泛地研究。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失