α型β级Bazilevič函数的Milin系数估计和相邻系数问题

Acta mathematica scientia,Series A ›› 2019, Vol. 39 ›› Issue (2): 220-234.

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Milin Coefficient Estimation and Adjacent Coefficient Problem for Bazilevič Functions of Type α and Order β

Xiaomeng Niu*(),Shuhai Li()

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

Received:2018-03-25 Online:2019-04-26 Published:2019-05-05
Contact: Xiaomeng Niu E-mail:ndnxm@126.com;lishms66@sina.com
Supported by:
the NSFC(11561001);the Higher School Research Foundation of Inner Mongolia(NJZY18217);the Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region(NJYT-18-A14)

Abstract

Abstract:

In this paper, we study the Milin coefficients of Bazilevič functions of type α and order β and obtain estimate of the difference of moduli of adjacent coefficients for functions in this class. The accurate results are obtained. The results present here generalize some known results. In addition, as a special case, the geometric features of Milin function are given.

Key words: Analytic functions, Univalent functions, Bazilevič functions, Milin coefficients, Adjacent coefficients

CLC Number:

O174.51

Xiaomeng Niu,Shuhai Li. Milin Coefficient Estimation and Adjacent Coefficient Problem for Bazilevič Functions of Type α and Order β[J].Acta mathematica scientia,Series A, 2019, 39(2): 220-234.

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Figures/Tables 6

References 14

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Milin Coefficient Estimation and Adjacent Coefficient Problem for Bazilevič Functions of Type α and Order β

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