Certain subclasses of bi-univalent functions involving the Poisson distribution associated with Horadam polynomials

Adnan Ghazy AlAmoush

doi:10.26637/MJM0704/0003

Abstract

In this paper, we introduce three new subclasses of the function class $\Sigma^{\prime}$ of bi-univalent functions involving the Poisson distribution associated with Horadam polynomials. Furthermore, we obtain estimates on the first two coefficients of functions in these new subclasses. Also, Fekete-Szegö inequalities of functions belonging to these subclasses are founded.

Keywords:

Analytic functions, Univalent and bi-univalent functions, Fekete-Szego problem, Horadam polynomials, Poisson, distribution, Coefficient bounds, Subordination

Mathematics Subject Classification:

Mathematics

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Adnan Ghazy AlAmoush Faculty of Science, Taibah University, Saudi Arabia

Pages: 618-624
Date Published: 01-10-2019
Vol. 7 No. 04 (2019): Malaya Journal of Matematik (MJM)

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