Cauchy Integral Formula

Cauchy Integral Formula of z_0 in Integral Path C

z0在积分路径C上的柯西积分公式

In this paper we directly give the canonical normal-roots of the n × n matrix whose rank is 1 or 2 through Cauchy integral formula for matrices .

本文通过矩阵的柯西积分公式给出秩为1或2的n阶方阵的标准根。

The cauchy integral formula and cauchy integral theorem are discussed in this paper .

本文主要讨论双解析函数的Cauchy积分公式，Cauchy积分定理等问题。

In this paper , we establish the Cauchy integral formula and Schwarz integral formula , and discuss the sufficiently and necessary condition of B-harmonic function on the hypersphere topological product domains .

建立了超球拓扑积上的Cauchy积分公式和Schwarz积分公式，并进一步讨论了超球拓扑积上B-调和函数的充要条件。

For the Riemann-Hilbert boundary value problems for the first order elliptic systems , we proves the problems solvable under some assumptions by means of generalized analytic function theory , Cauchy integral formula , function theoretic approaches and fixed point theorem ;

对于一阶椭圆型方程组的Riemann-Hilbert边值问题，利用广义解析函数理论、Cauchy积分公式、函数论方法和不动点原理，证明在某些假设条件下所讨论问题的可解性；

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。

The integral of complex harmonic functions are established and its Cauchy integral theorem and Cauchy integral formula are obtained . In addition , the characteristic of Cauchy integral formula for complex harmonic functions on unit disk are discussed .

建立了复调和函数积分，得出了其Cauchy积分定理与Cauchy积分公式，并讨论了单位圆上复调和函数Cauchy积分公式的特征。