On some differential sandwich theorems using an extended generalized Sălăgean operator and extended Ruscheweyh operator
Journal Title: Journal of Mathematics and Applications - Year 2015, Vol 38, Issue
Abstract
In this work we define a new operator using the extended generalized Sălăgean operator and extended Ruscheweyh operator. Denote by DR_λ^{m,n} the Hadamard product of the extended generalized Sălăgean operator D_λ^m and extended Ruscheweyh operator R^n, given by DR_λ^{m,n} : A*_ζ → A*_ζ [formula] and [formula] is the class of normalized analytic functions with A*_{1ζ} = A*_ζ. The purpose of this paper is to introduce sufficient conditions for strong differential subordination and strong differential superordination involving the operator DR_λ^{m,n} and also to obtain sandwich-type results.
Authors and Affiliations
Loriana Andrei
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