Univalent Functions Formulated by the Salagean-Difference Operator

We present a class of univalent functions Tm(κ, α) formulated by a new differential-difference operator in the open unit disk. The operator is a generalization of the well known Salagean’s differential operator. Based on this operator, we define a generalized class of bounded turning functions. Ineq...

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Bibliographic Details
Main Authors: Rabha W. Ibrahim, Maslina Darus
Format: Article
Language:English
Published: Etamaths Publishing 2019-07-01
Series:International Journal of Analysis and Applications
Online Access:http://etamaths.com/index.php/ijaa/article/view/1882
Description
Summary:We present a class of univalent functions Tm(κ, α) formulated by a new differential-difference operator in the open unit disk. The operator is a generalization of the well known Salagean’s differential operator. Based on this operator, we define a generalized class of bounded turning functions. Inequalities, extreme points of Tm(κ, α), some convolution properties of functions fitting to Tm(κ, α), and other properties are discussed.
ISSN:2291-8639