A Class of Harmonic Multivalent Functions for Higher Derivatives Associated with General Linear Operator

Authors

  • Ali Musaddak Delphi Department of Mathematics, College of science, University of Baghdad, Baghdad, Iraq https://orcid.org/0000-0003-0887-5955
  • Kassim A. Jassim Department of Mathematics, College of science, University of Baghdad, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2022.63.9.19

Keywords:

Harmonic, Multivalent functions, higher derivatives, linear operator, Integral operator

Abstract

    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.

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Published

2022-09-30

Issue

Section

Mathematics

How to Cite

A Class of Harmonic Multivalent Functions for Higher Derivatives Associated with General Linear Operator. (2022). Iraqi Journal of Science, 63(9), 3867-3876. https://doi.org/10.24996/ijs.2022.63.9.19

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