The mean value theorem and analytic functions of a complex variable

被引：6

作者：

Qazi, M. A. ^{[1
]}

机构：

[1] Tuskegee Univ, Dept Math, Tuskegee, AL 36088 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 324卷 / 01期

关键词：

mean value theorem; entire functions; quadrinomials; univalent functions;

D O I：

10.1016/j.jmaa.2005.11.049

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The mean value theorem for real-valued differentiable functions defined on an interval is one of the most fundamental results in Analysis. When it comes to complex-valued functions the theorem fails even if the function is differentiable throughout the complex plane. we illustrate this by means of examples and also present three results of a positive nature. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：30 / 38

页数：9

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