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一类复合解析函数零点阶数的计算方法
引用本文:李 婧,杨永举,徐 靖.一类复合解析函数零点阶数的计算方法[J].南阳师范学院学报,2013(12):64-65.
作者姓名:李 婧  杨永举  徐 靖
作者单位:南阳师范学院数学与统计学院,河南南阳473061
基金项目:南阳师范学院教学研究项目
摘    要:探讨了复合解析函数零点阶数的计算,证明了当z=z0是f(z)的m阶零点,ξ0=f(z0)是g(ξ)的n阶零点,则z0是复合函数w=gf(z)]的m·n阶零点,并结合实例阐述了这种方法的简便性.

关 键 词:复合  解析  零点  

A kind of calculation for the order of zeros for compound analytic functions
LI Jing,YANG Yong-ju,XU Jing.A kind of calculation for the order of zeros for compound analytic functions[J].Journal of Nanyang Teachers College,2013(12):64-65.
Authors:LI Jing  YANG Yong-ju  XU Jing
Institution:(School of Mathematics and Statistics,Nanyang Normal University, Nanyang 473061, China)
Abstract:This paper studies the calculation for the order of zeros for compound analytic functions. The authors show that the zo is m . n orders of zero for compound analytic function w =gf(z) ] when z =z0 is m orders of zero forf(z) and ξ0 =f(z0) with n orders of zero for g(ξ). This simple method is explained with examples.
Keywords:compound  analytic  zeros  order
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