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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

An Improvement of Ozaki's P-Valent Conditions

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Acta Mathematica Sinica,English Series 2016年第4期32卷 406-410页

作者： Mamoru NUNOKAWA Nak Eun CHO Oh Sang KWON Janusz SOKOL University of Gunma Hoshikuki-cho 798-8 Chuou-Ward Chiba 260-0808 Japan Department of Applied Mathematics College of Natural Sciences Pukyong National University Busan 608-737 Korea Department of Mathematics Kyungsung University Busan 608-736 Korea Department of Mathematics Rzeszow University of Technology Al. Powstancow Warszawy 12 35-959 Rzeszow Poland

The old result due to[Ozaki,S.：On the theory of multivalent functions Ⅱ.*** Bunrika Daigaku Sect.A,45-87（1941）],says that if f（z） = zp ＋ ∑n=p＋1anzn∞ is analytic in a convex domain D and for some real α we have Re{exp（iα）f（p）（z）}〉 0 in D,then f（z） is at most p-valent in *** this paper,we consider similar problems in the unit disc B = {z ∈ C：｜z｜〈 1}.

关键词： Analytic functions univalent functions Ozaki’s condition

Subordination and Superordination Properties for a Class of Integral Operators

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Acta Mathematica Sinica,English Series 2010年第3期26卷 515-522页

作者： Nak Eun CHO Teodor BULBOACA Department of Applied Mathematics Pukyong National University Faculty of Mathematics and Computer Science Babes-Bolyai University

In the present paper, we obtain some subordination- and superordinatiompreserving properties of certain integral operators defined on the space of normalized analytic functions in the open unit disk. The sandwich-type... 详细信息

关键词： differential subordination differential superordination univalent functions convex functions integral operators

New Results Subclasses of Analytic functions Define by Opooladifferential Operator

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Journal of Mathematics and System Science 2017年第10期7卷 289-295页

作者： Fatunsin L. M. Opoola T.O. Department of Mathematics Programme National Mathematical Centre Abuja Nigeria. Department of Mathematics University of llorin. Ilorin Nigeria.

In this paper, using Opooladifferential operator, we introduce new subclasses of univalent functions andprovide δ -Neigbhourhoods properties, Inclusion relations for the subclasses of univalent functions.

关键词： univalent functions Normalised Identity function δ-Neigbhourhoods Inclusion relations Opoola differential operator.

The Rotation Extremal functions for Meromorphic Starlike functionsof Order 1/2

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黑龙江大学自然科学学报 1999年第2期 12-15页

作者： Ding Lianming(Heilongjiang Commerce College, Harbin 150076) Zang Guoxin Zhang Zhaogong Wang Fubin (Harbin Education College, Harbin 150020)

Using variational method, the authors obtain the precise bound for argf for meromorphic and starlike in the exterior of the unit circle .

关键词： univalent functions starlike functions rotation theorem

Estimate and Fekete-Szeg? Inequality for a Class of m-Fold Symmetric Bi-univalent Function Defined by Subordination

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Journal of Mathematical Research with Applications 2019年第3期39卷 295-303页

作者： Dong GUO Huo TANG En AO Liangpeng XIONG Foundation Department Chuzhou Vocational and Technical College School of Mathematics and Statistics Chifeng University School of Mathematics and Statistics Wuhan University

In this paper, we investigate the coefficient estimate and Fekete-Szeg? inequality of a class of m-fold bi-univalent function defined by subordination. The results presented in this paper improve or generalize the rec... 详细信息

关键词： analytic functions univalent functions coefficient estimates m-fold symmetric bi-univalent function Fekete-Szeg? inequality subordination