An application of fractional calculus on a certain class of multivalent analytic functions with negative coefficients

Abbas Kareem Wanas, Sahar Jaafar Mahmood

Abstract


The object of this paper to study an application of the fractional calculus techniques for a certain class 𝑀𝑅(𝑝, 𝑚, 𝜀, 𝜎, 𝜇) of multivalent analytic functions with negative coefficients in the open unit disk. Distortiontheorems for the fractional derivative and fractional integration are obtained. Also, we gain results about coefficientinequality, neighborhood property and radii of starlikeness and convexity

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Published: 2019-05-14

How to Cite this Article:

Abbas Kareem Wanas, Sahar Jaafar Mahmood, An application of fractional calculus on a certain class of multivalent analytic functions with negative coefficients, Eng. Math. Lett., 2019 (2019), Article ID 9

Copyright © 2019 Abbas Kareem Wanas, Sahar Jaafar Mahmood. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Engineering Mathematics Letters

ISSN 2049-9337

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