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Application of fractional calculus operators for a new class of univalent functions with negative coefficients defined by Hohlov operator

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Mathematica Slovaca

Abstract

In this paper, we introduce a new class W(a, b, c, γ, β) which consists of analytic and univalent functions with negative coefficients in the unit disc defined by Hohlov operator, we obtain distortion theorem using fractional calculus techniques for this class. Also coefficient inequalities and some results for this class are obtained.

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Authors and Affiliations

  1. Department of Mathematics, College of Computer Science and Mathematics, Al-Qadisiya University, Diwaniya, Iraq

    Waggas Galib Atshan

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  1. Waggas Galib Atshan
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Correspondence to Waggas Galib Atshan.

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Communicated by Michal Zajac

Dedicated to my wife HND HEKMAT ABDULLAH on the occasion of the birth of our first baby MALAK

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Atshan, W.G. Application of fractional calculus operators for a new class of univalent functions with negative coefficients defined by Hohlov operator. Math. Slovaca 60, 75–82 (2010). https://doi.org/10.2478/s12175-009-0168-6

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  • DOI: https://doi.org/10.2478/s12175-009-0168-6

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