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Esa, Gh.H. and Darus, M. (2007) Application of Fractional Calculus Operators to a Certain Class of Univalent Functions with Negative Coefficient. International Mathematical Forum, 2, 2807-2814. https://doi.org/10.12988/imf.2007.07253

has been cited by the following article:

• TITLE: Certain Problem for Starlike Functions with Respect to Other Points

  AUTHORS: Ghassan H. Esa

  KEYWORDS: Univalent Functions, Distortion Theorem, Fractional Calculus Operators

  JOURNAL NAME: Open Access Library Journal, Vol.8 No.4, April 30, 2021

  ABSTRACT: In this work, a new class of analytic and univalent functions , , with respect to other points that include symmetrical and conjugats in the unit disk are studied. The estimated coefficients are calculated respectively for each class of functions. The fractional calculus techniques where were used to study the distortion theorem. The fractional integral operator was used to satistfy the analytic function f(z) in a simply-connected region of the z-plane containing the origin on a class , and hence concluded to the analytic fonctions f(z) on the calsses and .