Univalent analytic functions of a class family.

一类单叶解析函数族。

The univalent radical derived from benzoic acid.

从苯甲酸衍生而来的一价化学基。

A univalent chemical radical derived from ethylene.

从乙烯衍生而来的一价化学基。

Containing three univalent basic atoms or radicals per molecule. Used of a base or salt.

三碱式的每个分子中含有三个一价碱性原子或原子团的。

The univalent organic radical C6H5, derived from benzene by removal of one hydrogen atom.

苯基单价有机基因，c6h5，通过去掉一个氢原子而从苯中提炼出来。

The univalent hydrocarbon radical, CH3-, derived from methane and occurring in many important organic compounds.

甲基单价碳氢基，ch3-，由甲烷中衍生出，在许多重要有机化合物中出现。

A soft silver-white univalent element of the alkali metal group; the lightest metal known; occurs in several minerals.

一种银白色软质单价元素，碱金属属，已知最轻的金属，存在于许多矿物中。

The present article is an account of results on univalent functions in multiply connected domains obtained by the author.

本文是作者在多连通区域单叶函数领域研究成果的总结。

Also, we has studied the inclusion relations to the class of analytic functions and harmonic univalent functions with negative coefficients.

对函数族的包含关系及a级负系数调和凸函数族进行了一些研究。

The result showed that bivalent and multivalent cations could be removed effectively, while the rejection of univalent cations was very low.

实验表明，所制备的纳滤膜能有效截留二价和多价阳离子，对单价阳离子的截留率极低。

The problems of coefficient estimates and extreme values of univalent functions are highly emphasized all the time by mathematicians from all over the world.

单叶函数的系数估计问题、极值问题研究一直倍受各国数学家高度关注。

In this paper, applying a certain elementary methods, we obtain a more precise estimation related to the mean modulus of the univalent functions in class S. Thus the old result is improved.

用初等方法得到单叶函数族S中函数平均模数有关的一个较精密估计，改进了现有结果。

It contains six parts: mapping theorems, numerical estimations of univalent harmonic functions, special mappings, variational method, boundary behavior and applications to minimal surfaces.

它共分六个部分：映射定理；单叶调和函数的数值估计；特殊映射；变分方法；境界性质和在极小曲面中的应用。

In the last chapter: the author investigates certain kind of harmonic univalent function with negative coefficients and obtain some sufficient-necessary conditions for this new kind function.

第三章：作者研究了某一类负系数的单叶调和函数，得到它的一些充要条件等。

In this paper, we study a generalized class of univalent functions with negative coefficients. Sharp coefficient estimates, distortion theorem and radius of convexity and starlikeness are obtained.

本文研究一类广义负系数单叶解析函数，得到了准确的系数估计，偏差定理，凸性半径和星形性半径。