Open Access

ARTICLE

Properties of Certain Subclasses of Analytic Functions Involving q-Poisson Distribution

Bilal Khan^1,*, Zhi-Guo Liu¹, Nazar Khan², Aftab Hussain³, Nasir Khan⁴, Muhammad Tahir²

1 School of Mathematical Sciences and Shanghai Key Laboratory of PMMP, East China Normal University, Shanghai, 200241, China
2 Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad, 22010, Pakistan
3 Department of Mathematics, King Abdulaziz University, Jeddah, 21589, Saudi Arabia
4 Department of Mathematics, FATA University, Akhorwal (Darra Adam Khel), FR Kohat, 26000, Pakistan

* Corresponding Author: Bilal Khan. Email:

(This article belongs to the Special Issue: Trend Topics in Special Functions and Polynomials: Theory, Methods, Applications and Modeling)

Computer Modeling in Engineering & Sciences 2022, 131(3), 1465-1477. https://doi.org/10.32604/cmes.2022.016940

Received 12 April 2021; Accepted 24 November 2021; Issue published 19 April 2022

Abstract

By using the basic (or q)-Calculus many subclasses of analytic and univalent functions have been generalized and studied from different viewpoints and perspectives. In this paper, we aim to define certain new subclasses of an analytic function. We then give necessary and sufficient conditions for each of the defined function classes. We also study necessary and sufficient conditions for a function whose coefficients are probabilities of q-Poisson distribution. To validate our results, some known consequences are also given in the form of Remarks and Corollaries.

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Keywords

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