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
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
收藏
页码:723 / 728
页数:6
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