Some Properties of a New Class of Univalent Functions Involving a New Generalized Differential Operator with Negative Coefficients

A  Amourah  and Maslina Darus

doi:10.17485/ijst/2016/v9i36/97738

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Some Properties of a New Class of Univalent Functions Involving a New Generalized Differential Operator with Negative Coefficients

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2016/v9i36/97738

Year: 2016, Volume: 9, Issue: 36, Pages: 1-7

Original Article

Some Properties of a New Class of Univalent Functions Involving a New Generalized Differential Operator with Negative Coefficients

A. Amourah^* and Maslina Darus

School of Mathematical Sciences Faculty of Science and Technology UniversitiKebangsaan Malaysia Bangi 43600 Selangor D. Ehsan, Malaysia; [email protected]
[email protected]
*Author for correspondence
Amourah
School of Mathematical Sciences Faculty of Science and Technology UniversitiKebangsaan
Email:[email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

The primary motivation behind this paper is to present new generalized differential operator , , ( , ) ( ) m A fz mld a b defined through U =∈ < {z  : z 1} we present a new contribution is subclass of analytic functions Gm (gs c , , ). Additionally, we talk about some properties for univalent functions with many results for the subclass of analytic functions Gm (gs c , , ). Furthermore, with given solve technical to application involving fractional calculus for univalent functions
Keywords: Analytic Functions, Differential Operator, Close-to-convex Functions, Fractional Calculus, Starlike Functions