On Class of Bi-univalent functions involving Neutrosophic 𝓆-Poisson distribution Series

Banin Shaker Jubeir^1,*, Mohammad El-Ityan², Rafid Habib Buti³, Mohammed Hassan Hamza⁴

¹Department of Mathematics and Computer Applications, College of Science, Al Muthanna University, Iraq

²Department of Mathematics, Faculty of Science, Al-Balqa Applied University, Salt, Jordan

³Department of Mathematics and computer applications, College of science, Al Muthanna University, Iraq

⁴Department of Computer Technical engineering, College of Information Technology, Imam Ja’afar Al-Sadiq University, Al-Muthanna 66001, Iraq

Email: banenshaker@mu.edu.iq; Mohammad65655vv22@gmail.com; Sci.rafid@mu.edu.iq; muhammad_hassan@ijsu.edu.iq

Abstract

This paper introduces and investigates a new class of bi-univalent functions constructed through the Neutrosophic 𝓆-Poisson distribution series. The study focuses on estimating the upper bounds of the basic coefficients and  in the Taylor series expansion of these functions.

Keywords: 𝓆-Poisson distribution; Bi-univalent functions; Unit disk; Analytic functions; Starlike functions