**Title:** Connections between Various Subclasses of Uniformly Harmonic Starlike Mappings and Poisson Distribution Series

**Montes Taurus J. Pure Appl. Math.** / ISSN: 2687-4814

**Article ID:** MTJPAM-D-20-00032; **Volume 3 / Issue 3 / Year 2021 (Special Issue)**, Pages 297-304

**Document Type:** Research Paper

**Author(s):** Rabha Mohamad El-Ashwah ^{a} , Wafaa Yahia Kota ^{b}

^{a}Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt

^{b}Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt

Received: 27 September 2020, Accepted: 28 March 2021, Published: 25 April 2021.

**Corresponding Author:** Rabha Mohamad El-Ashwah (Email address: r_elashwah@yahoo.com)

**Full Text:** PDF

**Abstract**

In this paper, we use a power series with coefficients are the probabilities of Poisson distribution and obtain sufficient conditions for this power series and some related series to be in various subclasses of harmonic functions. Also, we investigate several mapping properties involving these subclasses.

**Keywords:** Harmonic starlike, Harmonic *ɣ*-uniformly starlike, Poisson distribution series, Univalent functions

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