Harmonic functions of class of Bazilevi´c type Related to new derivative operator

Abdul Rahman S. Juma; Mushtaq S. Abdulhussain; Saba Nazar Al-khafaji

doi:10.23851/mjs.v30i1.565

Authors

Abdul Rahman S. Juma Department of Mathematics, College of Education for Pure Science, University of Anbar
Mushtaq S. Abdulhussain Department of Mathematics, College of Science, Mustansiriyah University
Saba Nazar Al-khafaji Department of Mathematics, College of Science, Mustansiriyah University

DOI:

https://doi.org/10.23851/mjs.v30i1.565

Keywords:

Analytic function, Univalent function, Bazilevi´c function, Harmonic mapping.

Abstract

In this paper, we define and investigate subclass of Bazilevi´c type harmonic univalent functions related with a new linear operator. Also, we have obtained the harmonic structures in terms of its coefficient bounds, extreme points, distortion bound, convolution and we proved the function belongs to this class be closed under an integral operator.

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