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共轭解析函数论中微分中值定理的类似与推广
引用本文:姜书时.共轭解析函数论中微分中值定理的类似与推广[J].石油天然气学报,1991,13(4):68-73.
作者姓名:姜书时
作者单位:江汉石油学院基础课部
摘    要:作者旨在将Grace定理推广到共轭解析函数论中去,建立起类似于Roll定理、Lagrange定理和Cauchy定理等的微分中值定理,并将其结果应用到共轭解析函数中,得到了一些新的结论。

关 键 词:共轭解析函数  微分中值定理  共轭导数  零点  函数系

Differential Theorems of Mean and Their Extension in Theory of Conjugate Analytic Functions
Jiang Shushi.Differential Theorems of Mean and Their Extension in Theory of Conjugate Analytic Functions[J].Journal of Oil and Gas Technology,1991,13(4):68-73.
Authors:Jiang Shushi
Abstract:In this paper the Grace's theorem is generalized and a series of differential theorems of mean analogous to Roll's theorem, Lagrange's theorem and Cauchy's theorem etc. is established. Some new results in theory of conjugate analytic functions are obtained by these theorems.
Keywords:theorems of mean  analytic function  Roll's theorem  Cauchy's theorem  Lagrange's theorem  conjugacy
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