伯努利双纽线区域内复阶解析函数类的优化问题

Acta mathematica scientia,Series A ›› 2019, Vol. 39 ›› Issue (1): 156-164.

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Majorization Problems for the Classes of Analytic Functions of Complex Order on the Domains of Lemniscate of Bernoulli

Huo Tang*(),Shuhai Li(),Xiaomeng Niu(),Lina Ma()

School of Mathematics and Statistics, Chifeng University, Inner Mongolia Chifeng 024000

Received:2018-02-01 Online:2019-02-26 Published:2019-03-12
Contact: Huo Tang E-mail:thth2009@163.com;lishms66@163.com;ndnxm@126.com;malina00@163.com
Supported by:
the NSFC(11561001);the NSFC(11271045);the Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region(NJYT-18-A14);the Natural Science Foundation of Inner Mongolia(2018MS01026);the Natural Science Foundation of Inner Mongolia(2014MS0101);the Natural Science Foundation of Inner Mongolia(2017MS0113);the Higher School Foundation of Inner Mongolia(NJZY17300);the Higher School Foundation of Inner Mongolia(NJZY18217);the Natural Science Foundation of Chifeng

Abstract

Abstract:

In this paper, we introduce the classes L_n^γ and R_n^b(a, c) of analytic functions on the left-half and right-half bounded domains of lemniscate of Bernoulli, which are defined by using the Salagean operator and subordination relationship, and investigate majorization problems for functions belonging to these classes. Some interesting corollaries of our main results are also considered.

Key words: Analytic function, Lemniscate of Bernoulli, Salagean operator, Subordination relationship, Majorization

CLC Number:

O174.5

Huo Tang,Shuhai Li,Xiaomeng Niu,Lina Ma. Majorization Problems for the Classes of Analytic Functions of Complex Order on the Domains of Lemniscate of Bernoulli[J].Acta mathematica scientia,Series A, 2019, 39(1): 156-164.

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Figures/Tables 4

References 19

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Majorization Problems for the Classes of Analytic Functions of Complex Order on the Domains of Lemniscate of Bernoulli

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