p-Valent strongly starlike and strongly convex functions connected with linear differential Borel operator

被引:0
|
作者
El-Deeb, S. M. [1 ,2 ]
Murugusundaramoorthy, G. [3 ]
Alburaikan, A. [2 ]
机构
[1] Damietta Univ, Fac Sci, Dept Math, New Damietta 34517, Egypt
[2] Qassim Univ, Dept Math, Coll Sci & Arts, Buraydah 51452, Saudi Arabia
[3] Vellore Inst Technol Univ Vellore, Sch Adv Sci, Dept Math, Vellore 632014, Tamil Nadu, India
来源
关键词
p-Valent; strongly starlike; strongly convex; linear q-differential Borel operator; ORDER;
D O I
10.22436/jmcs.026.02.04
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we define two subclasses S* (alpha, m, delta, p, q, lambda, gamma, beta) and K (alpha, m, delta, p, q, lambda, gamma, beta) of strongly starlike and strongly convex functions of order beta and type gamma by using the linear q-differential Borel operator. We also derive some interesting properties, such as inclusion relationships of these classes and the integral operator J(mu,p).
引用
收藏
页码:137 / 147
页数:11
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