An Application Of The Power Series Distribution For Univalent Function Classes With Positive Coefficients


Gangadharan M., Yalçın Tokgöz S., Yaşar E., Çakmak S.

International Journal of Nonlinear Analysis and Applications, cilt.14, sa.5, ss.259-265, 2023 (Hakemli Dergi)

Özet

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 VSp (ϑ, γ, κ) and VCp(ϑ, γ, κ) 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.