This analysis introduces a new class of bi-univalent functions defined by Gegenbauer polynomials, exploring coefficient estimates and functional problems.
The Miller–Ross-type Poisson distribution is an important model for plenty of real-world applications. In the present analysis, we study and introduce a new class of bi-univalent functions defined by means of Gegenbauer polynomials with a Miller–Ross-type Poisson distribution series. For functions in each of these bi-univalent function classes, we have derived and explored estimates of the Taylor coefficients a2 and a3 and Fekete-Szegö functional problems for functions belonging to these new subclasses.
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Amourah et al. (2022) studied this question.
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