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Engineering Mathematics Letters ISSN 2049-9337

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Eng. Math. Lett. 2019 (2019), Article ID 9

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

Abbas Kareem Wanas, Sahar Jaafar Mahmood

PDF (260.2 KB) https://doi.org/10.28919/eml/4003

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

Published
14 May 2019
Volume
2019 (2019)
License
CC BY 3.0

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.

Cite this article

A. K. Wanas, S. J. Mahmood, An application of fractional calculus on a certain class of multivalent analytic functions with negative coefficients, Eng. Math. Lett. 2019 (2019), 9. https://doi.org/10.28919/eml/4003

BibTeX
@article{Wanas2019,
  author  = {Wanas, Abbas Kareem and Mahmood, Sahar Jaafar},
  title   = {An application of fractional calculus on a certain class of multivalent analytic functions with negative coefficients},
  journal = {Eng. Math. Lett.},
  volume  = {2019},
  year    = {2019},
  pages   = {9},
  doi     = {10.28919/eml/4003}
}