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Coefficient Bounds for a New Subclass of Bi-Univalent Functions Defined by salagean operator

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Journal of Mathematical Research with Applications 2017年第3期37卷 290-298页

作者： Fan CHEN Xiaofei LI College of Engineering and Technology Yangtze University School of Information and Mathematics Yangtze University Department of Mathematics University of Macau

In this paper, a new subclass N;（m, λ, μ） of analytic and bi-univalent functions in the open unit disk U is defined by salagean operator. We obtain coefficients bounds |a;| and |a;| for functions of the class. Moreover, we verify Brannan and Clunie’s conjecture |a;| ≤2;for some of our classes. The results in this paper extend many results recently researched by many authors.

关键词： analytic functions univalent functions bi-univalent functions coefficient bounds salagean operator

STARLIKENESS AND SUBORDINATION PROPERTIES OF A LINEAR operator

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Acta Mathematica Scientia 2014年第5期34卷 1446-1460页

作者： Samaneh Gholizadeh HAMIDI Suzeini Abdul HALIM Janusz SOKóL Institute of Mathematical Sciences Faculty of Science University Malaya50603 Kuala LumpurMalaysia Department of Mathematics Rzeszów University of Technology Al. Powstańców Warszawy 1235-959 Rzeszów Poland

In this paper, we introduce a new class of p-valent analytic functions defined by using a linear operator Lαk . For functions in this class Hαk （p,λ;h） we estimate the coefficients. Furthermore, some subordinatio... 详细信息

关键词： analytic functions univalent functions p-valent functions differential subor-dination Carlson-Shaffer operator salagean operator Dziok-Srivastava oper-ator

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Coefficient Estimates for the Subclasses of Analytic Functions and Bi-Univalent Functions Associated with the Strip Domain

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Journal of Mathematical Research with Applications 2017年第5期37卷 550-562页

作者： Shuhai LI Huo TANG Li-na MA Xiaomeng NIU School of Mathematics and Statistics Chifeng University

The salagean operator is used here to introduce a new subclass of analytic functions associated with the strip domain. We obtain the bounds of coefficients and Fekete-szego inequality for functions in this class and coefficient estimates of bi-univalent functions for certain subclasses of this class. The results presented here extend some of the earlier results.

关键词： analytic functions strip domain salagean operator subordination

A New Class of Harmonic Univalent Functions

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Chinese Quarterly Journal of Mathematics 2012年第2期27卷 286-292页

作者： LI Shu-hai MA Li-na Department of Mathematics Chifeng College Chifeng 024001 China

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 *** define and investigate a new class LH_λ(α,β) by generalized salagean operator of harmonic univalent *** 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 *** leads to distortion bounds and extreme points.

关键词： harmonic function salagean operator extreme points distortion bounds

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