Certain subclasses of bi-univalent functions involving the Poisson distribution associated with Horadam polynomials
Authors :
Adnan Ghazy AlAmoush
Author Address :
Faculty of Science, Taibah University, Saudi Arabia.
Abstract :
In this paper, we introduce three new subclasses of the function class $\Sigma^{'}$ 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-Szeg\"{o} inequalities of functions belonging to these subclasses are founded.
Keywords :
Analytic functions, Univalent and bi-univalent functions, Fekete-Szeg\"{o} problem; Horadam polynomials, Poisson distribution, Coefficient bounds, Subordination.
DOI :
Article Info :
Received : March 22, 2019; Accepted : September 24, 2019.
