亚纯函数与整函数的分解理论是单复变函数论中一个令人感兴趣的课题。
The factorization theory of meromorphic and entire functions is one of interesting problems in complex analytic function theory.
运用复变函数论方法处理了二维流动。
Two-dimensional flow was dealt with using the method of functions of complex variables.
利用复变函数方法，得到了该问题的一般解答。
Based on complex variable method, the general solutions of the problem were derived.
利用复变函数和多极坐标方法构造了问题的位移解。
The displacement solution is constructed by applying the methods of complex function and multi polar coordinates system.
本文主要讨论一种特殊的复变函数的积分——周线积分。
This paper mainly discusses a special kind of complex function — contour integral.
首先假设挠度的复变函数式，进而可以求板的内力。
The deflection is assumed to be functions of complex variables, and then the moments and shearing forces of the plates can be obtained.
在数学中经常要用到复变函数在极点邻域内展开的罗朗级数。
It is widely used to develop complex functions into Laurent series at the neighborhood of a pole.
复变函数积分计算是复变函数课程教学的一个非常重要的内容。
Computation of the complex integral is very important content in teaching complex variable function.
给出了复变函数分解定理的简捷证明，并证明了分解的唯一性。
A simple and direct proof of decomposition theorem of complex functions has been provided, and Uniqueness of the decomposition has been proved.
采用复变函数论，对反平面条件下的动态裂纹扩展问题进行研究。
By the application of complex functions theory, the dynamic crack propagation problems under the condition of anti-plane were investigated.
复变函数方法是研究复合材料断裂问题的非常有效的数学方法之一。
The method of composite complex function is one of the mathematical methods for the problem composite material fracture.
采用复变函数方法研究复合材料中的钱币状裂纹的轴对称传播问题。
The axisymmetric propagating problem of a penny-shaped crack in composite material is studied using complex function method.
采用复变函数方法求解了脉冲放电瞬间裂纹尖端的温度场和热应力场。
The complex function method is used to solve the temperature field and thermal stress field around the crack tip at the moment when the pulse current is switched on.
复变函数方法是用于求解复合材料平面断裂问题非常有效的方法之一。
The method of complex function is one of the very effective methods for the problem of composite materials plate fracture.
运用复变函数及积分方程方法，求解了半平面域多圆孔多裂纹反平面问题。
By using of complex variable function and integral equation method, the antiplane multiple holes and cracks problem of half plane region is considered in this paper.
利用复变函数方法，对复合材料平面断裂问题的研究已经取得了许多成果。
Many research results of composite material fracture were derived by the method of composite complex function.
运用复变函数及积分方程方法，求解了半平面域多圆孔多裂纹反平面问题。
The edge internal branch crack problems for half-plane in antiplane elasticity are solved with complex potentials and singular integral equation approach.
高维复空间中内函数的存在性及其性质是多复变函数研究的一个重要内容。
On R-W Polynomials and Existence of Inner Functions in the Classical Domains;
采用复变函数及摄动方法，最后以幂级数形式给出应力强度因子的计算公式。
Stress intensity factors at the craek tips are computed by complex variable functions and perturbation method and formulas are given in power series forms.
复变函数论的方法，对复合材料的圆盘状裂纹的轴对称性扩展问题进行研究。
By the theory of complex functions, a penny-shaped crack on axially symmetric propagating problems for composite materials was studied.
采用复变函数法和多极坐标方法，研究了弯曲波对含有多圆孔薄板的散射问题。
Scattering of flexural waves by multiple cutouts and dynamic stress concentration in the thin plates were investigated in terms of the complex variable function method and multi-polar coordinates.
摘要最大模原理在复变函数论中占有重要的地位，是研究解析函数的有力工具。
Maximum modulus principle plays an important role in the complex analytics, and it is a powerful tool in studying the analytic function.
在前言中，我们对复变函数及其历史背景以及这些领域的研究成果作了一番综述。
In the preface, we give a review about the historical background of complex analysis and research achievements in these fields.
采用复变函数解法，研究地面荷载作用下浅埋圆形隧道围岩的平面弹性应力问题。
The complex variable method analytic solution of stress is given for the plane elastic stress problem of surrounding rock of shallow circular tunnel under ground load.
本文利用复变函数方法求解无限的各向异性介质中入射SH波对圆孔的散射问题。
In this paper, the method of complex variable function is used to solve the scattering problem of a circular hole by SH wave in an anisotropic medium.
本文将复变函数中的幅角原理推广到亚纯函数在区域的边界上有零点和极点的情况。
In this paper Argument principle is extended to the case in which meromorphic function has limited number of zeros and poles at the boundary of reg - ion.
利用复变函数和奇异积分方程方法，求解反平面弹性中半平面边缘内分叉裂纹问题。
The edge internal branch crack problems for half-plane in antiplane elasticity are solved with complex potentials and singular integral equation approach.
利用复变函数和奇异积分方程方法，求解反平面弹性中半平面边缘内分叉裂纹问题。
By using of complex variable function and integral equation method, the antiplane multiple holes and cracks problem of half plane region is considered in this paper.
本文根据粘弹性体的理论与复变函数理论给出了非圆形巷道(洞室等)的粘弹性解析解。
This paper gives an analytic solution of non-circle opening based on linear viscoelastic theories and theory of function of a complex variable.
运用复变函数法，在Biot波动理论的基础上，对饱和土中的圆形衬砌结构进行分析。
Based on Biot's dynamic theory, the method of complex variable functions is used to solve the problem of scattering of elastic waves by circular cavity with lining in saturated soil.
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