A New Class of Harmonic Univalent Functions
A New Class of Harmonic Univalent Functions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.