An application of the power series distribution for univalent function classes with positive coefficients
نویسندگان
1 School of Advanced Sciences, Vellore Institute of Technology, Vellore - 632014, India
2 Department of Mathematics, Faculty of Arts and Sciences, Bursa Uludag University, Bursa, Turkey
3 Department of Mathematics, Faculty of Arts and Sciences, Bursa Uludag University, Bursa, Turkey
4 Istanbul Gelisim University, Istanbul, Turkey
doi
10.22075/ijnaa.2022.22768.2414چکیده
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.
