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Properties on a subclass of univalent functions defined by using Sălăgean operator and Ruscheweyh derivative.

Authors :
Lupaş, Alina Alb
Source :
Journal of Computational Analysis & Applications. 12/15/2016, Vol. 21 Issue 7, p1213-1217. 5p.
Publication Year :
2016

Abstract

this paper we have introduced and studied the subclass L(d, α, β) of univalent functions defined by the linear operator Lnʏ f(z) defined by using the Ruscheweyh derivative Rnf(z) and the Să lăgean operator Snf(z), as Lnʏ : A → A, Lnʏ f(z) = (1- ʏ)Rnf(z)+ʏSnf(z), z ϵ U, where An = {f ϵ H(U) : f(z) = z+an+1zn+1 + . . . , z ϵ U} is the class of normalized analytic functions with A1 = A. The main object is to investigate several properties such as coefficient estimates, distortion theorems, closure theorems, neighborhoods and the radii of starlikeness, convexity and close-to-convexity of functions belonging to the class L(d, α, β). [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
15211398
Volume :
21
Issue :
7
Database :
Academic Search Index
Journal :
Journal of Computational Analysis & Applications
Publication Type :
Academic Journal
Accession number :
112361179