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Characteristics of a Subclass of Analytic Functions Introduced by Using a Fractional Integral Operator

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Title: Characteristics of a Subclass of Analytic Functions Introduced by Using a Fractional Integral Operator

Authors: Alina Alb Lupas

Journal: Journal of advances in applied & computational mathematics

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Year: 2021

Volume: 8

Language: en

DOI: 10.15377/2409-5761.2021.08.5

Keywords: analytic functionsStarlikenessExtreme pointsCoefficient boundsdifferential operator

Categories
Differential Operators (6) Analysis (236) Mathematics (5170) Complex Analysis (54) Geometric Function Theory (11)

Abstract

We define a new class of analytic functions Dm,n (λ,δ,µ,α,β) on the open unit disc using the fractional integral associated with a linear differential operator and investigate characteristics of this class: extreme points, distortion bounds, radii of close-to-convexity, starlikeness and convexity.

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