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

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
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.
Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:14 Issue: 5, May 2023
Pages:
259 to 265
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