Pascal distribution series and its applications on parabolic starlike functions with positive coefficients

Author(s):

Murugusundaramoorthy Gangadharan *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
The purpose of this article is to make a connection between the Pascal distribution series and some subclasses of normalized analytic functions whose coefficients are probabilities of the Pascal distribution. To be more precise, we investigate such connections with the classes of parabolic starlike and uniformly convex functions with positive coefficients in the open unit disk $\mathbb{U}.$
Keywords:

Starlike functions , Convex functions , Uniformly Starlike functions , Uniformly Convex functions , Hadamard product , Pascal distribution series

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:14 Issue: 1, Jan 2023
Pages:
121 to 130
https://www.magiran.com/p2563155