STARLIKENESS AND SUBORDINATION PROPERTIES OF A LINEAR OPERATOR

doi:10.1016/S0252-9602(14)60095-3

数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (5): 1446-1460.doi: 10.1016/S0252-9602(14)60095-3

STARLIKENESS AND SUBORDINATION PROPERTIES OF A LINEAR OPERATOR

Samaneh Gholizadeh HAMIDI|Suzeini Abdul HALIM|Janusz SOKÓL

Institute of Mathematical Sciences, Faculty of Science, University Malaya, 50603 Kuala Lumpur, Malaysia； Department of Mathematics, Rzesz´ow University of Technology, Al. Powsta´nc´ow Warszawy 12, 35-959 Rzesz´ow, Poland

收稿日期:2013-04-15 修回日期:2014-04-15 出版日期:2014-09-20 发布日期:2014-09-20

STARLIKENESS AND SUBORDINATION PROPERTIES OF A LINEAR OPERATOR

Samaneh Gholizadeh HAMIDI|Suzeini Abdul HALIM|Janusz SOKÓL

Institute of Mathematical Sciences, Faculty of Science, University Malaya, 50603 Kuala Lumpur, Malaysia； Department of Mathematics, Rzesz´ow University of Technology, Al. Powsta´nc´ow Warszawy 12, 35-959 Rzesz´ow, Poland

Received:2013-04-15 Revised:2014-04-15 Online:2014-09-20 Published:2014-09-20

摘要/Abstract

摘要：

In this paper, we introduce a new class of p-valent analytic functions defined by using a linear operator L^α_k . For functions in this class H^α_k (p, λ; h) we estimate the coefficients. Furthermore, some subordination properties related to the operator L^α_k are also derived.

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

Abstract:

Key words: analytic functions, univalent functions, p-valent functions, differential subor-dination, Carlson-Shaffer operator, Salagean operator, Dziok-Srivastava oper-ator

中图分类号:

30C45

Samaneh Gholizadeh HAMIDI, Suzeini Abdul HALIM, Janusz SOKóL. STARLIKENESS AND SUBORDINATION PROPERTIES OF A LINEAR OPERATOR[J]. 数学物理学报(英文版), 2014, 34(5): 1446-1460.

Samaneh Gholizadeh HAMIDI, Suzeini Abdul HALIM, Janusz SOKóL. STARLIKENESS AND SUBORDINATION PROPERTIES OF A LINEAR OPERATOR[J]. Acta mathematica scientia,Series B, 2014, 34(5): 1446-1460.

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STARLIKENESS AND SUBORDINATION PROPERTIES OF A LINEAR OPERATOR

STARLIKENESS AND SUBORDINATION PROPERTIES OF A LINEAR OPERATOR

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