An application of the power series distribution for univalent function classes with positive coefficients

The primary motivation of the paper is to give necessary and sufficient condition for the power series distribution (Pascal model) to be in the subclasses \mathcal{VS}_{p}\left( \vartheta ,\gamma ,\kappa \right) and \mathcal{VC}_p(\vartheta ,\gamma ,\kappa ) of analytic functions. Further, to obtain certain connections between the Pascal distribution series and subclasses of normalized analytic functions whose coefficients are probabilities of the Pascal distribution.

کلیدواژه ها:

Analytic functions ، Univalent functions ، power series distribution