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Abstract and Applied Analysis
Volume 2011, Article ID 167160, 10 pages
Research Article

New Properties of Complex Functions with Mean Value Conditions

Yuzhen Bai1 and Lei Wu1,2

1School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China
2Xingtan College, Qufu Normal University, Qufu 273100, China

Received 6 August 2011; Accepted 24 September 2011

Academic Editor: Marcia Federson

Copyright © 2011 Yuzhen Bai and Lei Wu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We apply mollifiers to study the properties of real functions which satisfy mean value conditions and present new equivalent conditions for complex analytic functions. New properties of complex functions with mean value conditions are given.