Some connections between various classes of analytic functions associated with the power series distribution

Özet

The primary motivation of the paper is to investigate the power series distribution (Pascal model) for the analytic function classes 𝑇𝒢(𝛼), 𝑇𝒢𝒮∗(𝛼, 𝜌) and 𝑇𝒢𝒞(𝛼, 𝜌). Furthermore, we give necessary and sufficient conditions for the Pascal distribution series belonging to these classes.