Univalent Holomorphic Functions with Negative and Fixed Finitely Many Coefficients in terms of Generalized Fractional Derivative

- Journal title : Kyungpook mathematical journal
- Volume 50, Issue 4, 2010, pp.499-507
- Publisher : Department of Mathematics, Kyungpook National University
- DOI : 10.5666/KMJ.2010.50.4.499

Title & Authors

Univalent Holomorphic Functions with Negative and Fixed Finitely Many Coefficients in terms of Generalized Fractional Derivative

Ebadian, Ali; Aghalary, Rasoul; Najafzadeh, Shahram;

Ebadian, Ali; Aghalary, Rasoul; Najafzadeh, Shahram;

Abstract

A new class of univalent holomorphic functions with fixed finitely many coefficients based on Generalized fractional derivative are introduced. Also some important properties of this class such as coefficient bounds, convex combination, extreme points, Radii of starlikeness and convexity are investigated.

Keywords

Univalent;Fractional derivative;Coefficient estimate;Convex set;Extreme point;Radii of starlikeness and Convexity;

Language

English

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