Convolutions of meromorphic multivalent functions with respect to n-ply points and symmetric conjugate points

被引：8

作者：

Chandrashekar, R. ^{[1
]}

Ali, Rosihan M. ^{[1
]}

Lee, See Keong ^{[1
]}

Ravichandran, V. ^{[1
,2
]}

机构：

[1] Univ Sains Malaysia, Sch Math Sci, Usm 11800, Penang, Malaysia

[2] Univ Delhi, Dept Math, Delhi 110007, India

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 218卷 / 03期

关键词：

Starlike and convex meromorphic; multivalent functions; Subordination; Convolution; Convex hull; n-ply points; Symmetric conjugate points; SUBCLASSES;

D O I：

10.1016/j.amc.2011.03.069

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is well-known that the classes of starlike, convex and close-to-convex univalent functions are closed under convolution with convex functions. In this paper, closure properties under convolution of general classes of meromorphic p-valent functions that are either starlike, convex or close-to-convex with respect to n-ply symmetric, conjugate and symmetric conjugate points are investigated. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：723 / 728

页数：6

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