On some differential sandwich theorems using a generalized Salagean operator and Ruscheweyh operator

被引:0
|
作者
Loriana, Andrei [1 ]
机构
[1] Univ Oradea, Dept Math & Comp Sci, Oradea 410087, Romania
关键词
analytic functions; differential operator; differential subordination; differential superordination;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this work we define a new operator using the generalized Salagean operator and Ruscheweyh operator. Denote by DR lambda m,n the Hadamard product of the generalized Salagean operator D-lambda(m) and Ruscheweyh operator R-n, given by DR lambda m,n : A -> A, DR lambda m * f (z) = (D-lambda(m) * R-n) f (z) and A(n) = {f is an element of H(U) : f (z) = z +an+1z(n+1) + ..., z is an element of U} is the class of normalized analytic functions with A(1) = A. The purpose of this paper is to introduce sufficient conditions for subordination and superordination involving the operator DR lambda m,n and also to obtain sandwich-type results.
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页码:1049 / 1056
页数:8
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