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

XIONG Liang-peng

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

Chinese Quarterly Journal of Mathematics >

2017 , Vol. 32 >Issue 2: 142 - 151

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2017.02.004

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

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

XIONG Liang-peng(1983-), male, native of Wuhan, Hubei, a lecturer of Chengdu University of Technology, Ph.D., engages in complex analysis and applications.

Received date: 2014-08-15

Online published: 2020-10-23

Supported by

Supported by the Scientific Research Found of Education Department of Sichuan Province(14ZB0364)；

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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

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

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