CERTAIN ASPECTS OF ANALYTIC FUNCTION SUBCLASSES ASSOCIATED WITH LAGUERRE POLYNOMIALS

Abstract

In this research article, two novel subclasses of analytic functions denoted by $\mathcal{R}_{lag}$ and $\mathcal{C}_{lag}$ are defined through subordination involving Laguerre polynomials. The initial coefficients of the functions belonging to these classes are determined and the corresponding Fekete- szeg\"{o} inequalities are derived. In addition, analogous results are obtained for the inverse function $h^{-1}$. As an application to the main results, we examine their connection with the Pòlya- Eggenberger distribution.