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Ph. D in Mathematics, Mathematics Department,College of science, University of Baghdad- 2022 M. Sc. in Mathematics, Mathematics Department , College of science, AL-Mustansiriyah University, 2011 B. Sc. in Mathematics, Mathematics Department, College of science, AL-Mustansiriyah University, 2007
A new class of higher derivatives for harmonic univalent functions defined by a generalized fractional integral operator inside an open unit disk E is the aim of this paper.
The main goal of this paper is to introduce the higher derivatives multivalent harmonic function class, which is defined by the general linear operator. As a result, geometric properties such as coefficient estimation, convex combination, extreme point, distortion theorem and convolution property are obtained. Finally, we show that this class is invariant under the Bernandi-Libera-Livingston integral for harmonic functions.