New classes of harmonic meromorphic multivalent starlike functions in Janowski domain

Volume 24, Issue 3, pp 216--224 http://dx.doi.org/10.22436/jmcs.024.03.03

Publication Date: February 23, 2021 Submission Date: December 14, 2020 Revision Date: December 26, 2020 Accteptance Date: January 03, 2021

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Authors

Timilehin Gideon Shaba - Department of Mathematics , University of Ilorin, P. M. B. 1515, Ilorin, Nigeria. Bakhtiar Ahmad - Government Degree College Mardan, 23200 Mardan, Pakistan. Muhammad Ghaffar Khan - Institute of Numerical Sciencies, Kohat University of Science and Technology, Kohat, Pakistan. Zabidin Salleh - Department of Mathematics, Faculty of Ocean Engineering Technology and Informatics , Universiti Malaysia Terengganu, 21030 Kuala Nerus, Terengganu, Malaysia. Wali Khan Mashwani - Institute of Numerical Sciencies, Kohat University of Science and Technology, Kohat, Pakistan. Shahid Khan - Institute of Numerical Sciencies, Kohat University of Science and Technology, Kohat, Pakistan.

Abstract

In this article some applications of harmonic analysis are discussed in the field of Geometric Function Theory in the form of a new class of meromorphic multivalent functions. A differential operator for these function have been used to define classes of meromorphic multivalent functions in association with Janowski functions in symmetric points. Various geometric properties like sufficiency criteria, growth theorem, convex combination, weighted mean for these functions have been evaluated for this newly defined class.

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Keywords

• Multivalent function
• harmonic meromorphic function
• Janowski function
• starlike functions
• subordination

MSC

•  30C45
•  30C50

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