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.
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页码：723 / 728
页数：6
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