算子化单叶解析函数的优化结果和系数边界

doi:10.13371/j.cnki.chin.q.j.m.2017.02.004

数学季刊 ›› 2017, Vol. 32 ›› Issue (2): 142-151.doi: 10.13371/j.cnki.chin.q.j.m.2017.02.004

算子化单叶解析函数的优化结果和系数边界

School of Mathematics and Statistics, Wuhan University. Engineering and Technical College, Chengdu University of Technology

收稿日期:2014-08-15 出版日期:2017-06-30 发布日期:2020-10-23
作者简介:XIONG Liang-peng(1983-), male, native of Wuhan, Hubei, a lecturer of Chengdu University of Technology, Ph.D., engages in complex analysis and applications.
基金资助:
Supported by the Scientific Research Found of Education Department of Sichuan Province(14ZB0364)；

Majorization Results and Coefficients Bounds for a Class of Univalent Functions Associated with Operator

School of Mathematics and Statistics, Wuhan University. Engineering and Technical College, Chengdu University of Technology

Received:2014-08-15 Online:2017-06-30 Published:2020-10-23
About author:XIONG Liang-peng(1983-), male, native of Wuhan, Hubei, a lecturer of Chengdu University of Technology, Ph.D., engages in complex analysis and applications.
Supported by:
Supported by the Scientific Research Found of Education Department of Sichuan Province(14ZB0364)；

摘要/Abstract

摘要： In this paper we introduce a new general subclass n,G∑ a,λ（A, B, α） of univalent functions related the known integral operator and differential operator. Some majorization results for n,G∑ a,λ（A, B, 1） as well as the other functions are given. Furthermore, we find the coefficients bounds on |a2| and |a3| for functions in*n,G∑ a,λ（A₁, B₁, A₂, B₂, α₁, α₂）, which is the bi-univalent functions defined by n,G ∑a,λ（A, B, α） and subordination. By giving specific values of the parameters of our main results, several（known or new） consequences of main results are also discussed.

关键词: analytic functions, integral operator, majorization, subordination, bi-univalent functions

Abstract: In this paper we introduce a new general subclass n,G∑ a,λ（A, B, α） of univalent functions related the known integral operator and differential operator. Some majorization results for n,G∑ a,λ（A, B, 1） as well as the other functions are given. Furthermore, we find the coefficients bounds on |a2| and |a3| for functions in*n,G∑ a,λ（A₁, B₁, A₂, B₂, α₁, α₂）, which is the bi-univalent functions defined by n,G ∑a,λ（A, B, α） and subordination. By giving specific values of the parameters of our main results, several（known or new） consequences of main results are also discussed.

Key words: analytic functions, integral operator, majorization, subordination, bi-univalent functions

中图分类号:

O174.51

熊良鹏. 算子化单叶解析函数的优化结果和系数边界[J]. 数学季刊, 2017, 32(2): 142-151.

XIONG Liang-peng. Majorization Results and Coefficients Bounds for a Class of Univalent Functions Associated with Operator[J]. Chinese Quarterly Journal of Mathematics, 2017, 32(2): 142-151.

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算子化单叶解析函数的优化结果和系数边界

Majorization Results and Coefficients Bounds for a Class of Univalent Functions Associated with Operator

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