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A New Class of Harmonic Univalent Functions

A New Class of Harmonic Univalent Functions

作     者:LI Shu-hai MA Li-na 

作者机构:Department of Mathematics Chifeng College Chifeng 024001 China 

出 版 物:《Chinese Quarterly Journal of Mathematics》 (数学季刊(英文版))

年 卷 期:2012年第27卷第2期

页      面:286-292页

核心收录:

学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基  金:Foundation item: Supported by the Natural Science Foundation of Inner Mongolia(2009MS0113) Supported by the Higher School Research Foundation of Inner Mongolia(NJzy08150) 

主  题:harmonic function Salagean operator extreme points distortion bounds 

摘      要:A complex-valued harmonic function that is univalent and sense preserving in the unit disk U can be written in the form of f = h + g,where h and g are analytic in *** define and investigate a new class LH_λ(α,β) by generalized Salagean operator of harmonic univalent *** give sufficient coefficient conditions for normalized harmonic functions in the class LH_λ(α,β).These conditions are also shown to be necessary when the coefficients are *** leads to distortion bounds and extreme points.

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