Abstract
The zero-truncated Poisson distribution is an important and appropriate model for many real-world applications. Here, we exploit the zero-truncated Poisson distribution probabilities to construct a new subclass of analytic bi-univalent functions involving Gegenbauer polynomials. For functions in the constructed class, we explore estimates of Taylor–Maclaurin coefficients a2 and a3, and next, we solve the Fekete–Szegő functional problem. A number of new interesting results are presented to follow upon specializing the parameters involved in our main results.
Subject
Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis
Reference33 articles.
1. Special Functions and Analysis of Differential Equations;Agarwal,2020
2. The Classical Orthogonal Polynomials;Doman,2015
3. An Introduction to Orthogonal Polynomials;Chihara,2011
4. Classical and Quantum Orthogonal Polynomials in One Variable;Ismail,2005
5. New Families of Bi-Univalent Functions Governed by Gegenbauer Polynomials
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