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


Affiliations
1 School of Mathematical Sciences Faculty of Science and Technology UniversitiKebangsaan Malaysia Bangi 43600, Selangor D. Ehsan, Malaysia
 

The primary motivation behind this paper is to present new generalized differential operator Amμ,λ,δ (α, β) f (z) defined through U = {z∈C|z|<1} we present a new contribution is subclass of analytic functions Gm (γ, σ, χ). Additionally, we talk about some properties for univalent functions with many results for the subclass of analytic functions Gm (γ, σ, χ). 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.
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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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Authors

A. Amourah
School of Mathematical Sciences Faculty of Science and Technology UniversitiKebangsaan Malaysia Bangi 43600, Selangor D. Ehsan, Malaysia
Maslina Darus
School of Mathematical Sciences Faculty of Science and Technology UniversitiKebangsaan Malaysia Bangi 43600, Selangor D. Ehsan, Malaysia

Abstract


The primary motivation behind this paper is to present new generalized differential operator Amμ,λ,δ (α, β) f (z) defined through U = {z∈C|z|<1} we present a new contribution is subclass of analytic functions Gm (γ, σ, χ). Additionally, we talk about some properties for univalent functions with many results for the subclass of analytic functions Gm (γ, σ, χ). 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.



DOI: https://doi.org/10.17485/ijst%2F2016%2Fv9i36%2F128336