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JMB Journal of Microbiolog and Biotechnology

OPEN ACCESS eISSN 0454-8124
pISSN 1225-6951
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KYUNGPOOK Math. J. 2019; 59(4): 651-663

Published online December 23, 2019

Copyright © Kyungpook Mathematical Journal.

On A Subclass of Harmonic Multivalent Functions Defined by a Certain Linear Operator

Hanan Elsayed Darwish, Abdel Moneim Yousof Lashin and Suliman Mohammed Sowileh∗

Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
e-mail : Darwish333@yahoo.com, aylashin@mans.edu.eg and s_soileh@yahoo.com

Received: November 7, 2016; Revised: February 24, 2018; Accepted: March 9, 2018

Abstract

In this paper, we introduce and study a new subclass of p-valent harmonic functions defined by modified operator and obtain the basic properties such as coefficient characterization, distortion properties, extreme points, convolution properties, convex combination and also we apply integral operator for this class.

Keywords: harmonic, multivalent functions, distortion bounds, extreme points.