International Journal of Nonlinear Analysis and Applications

On subclass of analytic univalent functions defined by fractional differ-integral operator I

Document Type : Research Paper

Authors

1 Department of Mathematics and Computer Applications College of Sciences, University of Al-Muthanna, Samawa, Iraq

2 Babil Education Directorate, Babil, Iraq

Abstract

In this paper , we studied and introduced a new subclass of analytic univalent functions defined by differ – integral operator . We obtain distortion bounds, extreme points , and some theorem of this subclass .

Keywords

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Agarwal, M.A. Pathan and S.P. Goyal), 4 (2004),27-35.
[2] J. Liouville, Memoire sur and J. Ecole polytech.. Le calcul des differential’s a indies quelcongues ,13 (1832)
,71-162.
[3] S.Owa,On the distortion theorems I, Kyungpook Math. J. 18(1978), 53-59.
[4] M. Saigo, Aremark on integral operators involving the Gauss hyper geometric functions , Math. Rep. College
General Ed. Kyushu Univ. 11(1978), 135-143.
[5] M. Saigo , A certain boundary valve problem for the Euler- Darbox equation , Math . Japon , 25 (1979) , 377-
385.
International Journal of Nonlinear Analysis and Applications
Volume 12, Special Issue
December 2021
Pages 63-69
  • Receive Date: 07 October 2020
  • Revise Date: 19 January 2021
  • Accept Date: 14 May 2021