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An Avant-Garde Construction for Subclasses of Analytic Bi-Univalent Functions
An Avant-Garde Construction for Subclasses of Analytic Bi-Univalent Functions
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An Avant-Garde Construction for Subclasses of Analytic Bi-Univalent Functions
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An Avant-Garde Construction for Subclasses of Analytic Bi-Univalent Functions
An Avant-Garde Construction for Subclasses of Analytic Bi-Univalent Functions
Journal Article

An Avant-Garde Construction for Subclasses of Analytic Bi-Univalent Functions

2022
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Overview
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.