Applications of Neutrosophic q -Poisson distribution Series for Subclass of Analytic Functions and Bi-Univalent Functions

Abdullah Alsoboh (), Ala Amourah (), Maslina Darus and Rami Issa Al Sharefeen
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Abdullah Alsoboh: Department of Mathematics, Al-Leith University College, Umm Al-Qura University, Mecca 24382, Saudi Arabia
Ala Amourah: Department of Mathematics, Faculty of Science and Technology, Irbid National University, Irbid 21110, Jordan
Maslina Darus: Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, Malaysia
Rami Issa Al Sharefeen: Faculty of Resilience, Rabdan Academy, Abu Dhabi 22401, United Arab Emirates

Mathematics, 2023, vol. 11, issue 4, 1-10

Abstract: By using the generalization of the neutrosophic q -Poisson distribution series, we introduce a new subclass of analytic and bi-univalent functions defined in the open unit disk. We then apply the q -Gegenbauer polynomials to investigate the estimates for the Taylor coefficients and Fekete–Szegö type inequalities of the functions belonging to this new subclass. In addition, we consider several corollaries and the consequences of the results presented in this paper. The neutrosophic q -Poisson distribution is expected to be significant in a number of areas of mathematics, science, and technology.

Keywords: neutrosophic q -Poisson distribution; q -gegenbauer polynomials; bi-univalent functions; analytic functions; Fekete–Szegö problem; q -calculus (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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