Subclasses of Multivalent Harmonic Mappings Defined by Convolution

被引：0
|
作者：
Subramanian, K. G. [1 ]
Stephen, B. Adolf [2 ]
Lee, S. K. [3 ]
机构：
[1] Univ Sains Malaysia, Sch Comp Sci, Usm Penang 11800, Malaysia
[2] Madras Christian Coll, Dept Math, Madras 600059, Tamil Nadu, India
[3] Univ Sains Malaysia, Sch Math Sci, Usm Penang 11800, Malaysia
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2012年 / 35卷 / 03期
关键词：
Harmonic functions; convolution; fully starlike and fully convex harmonic maps; Dziok-Srivastava linear operator; UNIVALENT-FUNCTIONS; NEGATIVE COEFFICIENTS; UNIT DISK;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A new subclass of multivalent harmonic functions defined by convolution is introduced in this paper. The subclass generates known subclasses of multivalent harmonic functions, and thus provides a unified treatment in the study of these subclasses. Sufficient coefficient conditions are obtained that are also shown to be necessary when the functions have negative coefficients. Growth estimates and extreme points are also determined. In addition conditions for starlikeness of the Dziok-Srivastava linear operator involving the generalized hypergeometric functions are discussed.
引用
收藏
页码：717 / 726
页数：10
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