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http://dx.doi.org/10.5666/KMJ.2010.50.4.499

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

Ebadian, Ali (Department of mathematics, Faculty of Sciences, Urmia university)
Aghalary, Rasoul (Department of mathematics, Faculty of Sciences, Urmia university)
Najafzadeh, Shahram (Department of mathematics, University of Maragheh)
Publication Information
Kyungpook Mathematical Journal / v.50, no.4, 2010 , pp. 499-507 More about this Journal
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;
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