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

Document Type : Research Paper


Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Deemed to be University, Vellore-632 014, India


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 $\mathbb{U}.$


Volume 14, Issue 1
January 2023
Pages 121-130
  • Receive Date: 01 April 2020
  • Revise Date: 09 May 2020
  • Accept Date: 12 May 2020