| 一类新的单叶调和函数(英文) |
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| 引用本文： | 李书海,马丽娜.一类新的单叶调和函数(英文)[J].数学季刊,2012(2):286-292. |
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| 作者姓名： | 李书海 马丽娜 |
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| 作者单位： | Department of Mathematics,Chifeng College |
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| 基金项目： | Supported by the Natural Science Foundation of Inner Mongolia(2009MS0113);Supported by the Higher School Research Foundation of Inner Mongolia(NJzy08150) |
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| 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 U.We define and investigate a new class LH_λ(α,β) by generalized Salagean operator of harmonic univalent functions.We 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 negative.This leads to distortion bounds and extreme points.
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| 关 键 词： | harmonic function Salagean operator extreme points distortion bounds |
A New Class of Harmonic Univalent Functions |
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| LI Shu-hai,MA Li-na.A New Class of Harmonic Univalent Functions[J].Chinese Quarterly Journal of Mathematics,2012(2):286-292. |
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| Authors: | LI Shu-hai MA Li-na |
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| Institution: | (Department of Mathematics,Chifeng College,Chifeng 024001,China) |
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| Abstract: | 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 U.We define and investigate a new class LH_λ(α,β) by generalized Salagean operator of harmonic univalent functions.We 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 negative.This leads to distortion bounds and extreme points. |
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| Keywords: | harmonic function Salagean operator extreme points distortion bounds |
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