Uniformly starlike functions and uniformly convex functions related to the Pascal distribution


Murugusundaramoorthy G., Yalçın Tokgöz S.

Mathematica Bohemica, vol.146, no.4, pp.419-428, 2021 (Journal Indexed in ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 146 Issue: 4
  • Publication Date: 2021
  • Doi Number: 10.21136/mb.2020.0044-20
  • Title of Journal : Mathematica Bohemica
  • Page Numbers: pp.419-428
  • Keywords: uniformly starlike function, uniformly convex function, starlike function, con-vex function, Pascal distribution, convolution, DISTRIBUTION SERIES, UNIVALENT, SUBCLASSES

Abstract

In this article, we aim to find sufficient conditions for a convolution of analytic univalent functions and the Pascal distribution series to belong to the families of uniformly starlike functions and uniformly convex functions in the open unit disk U. We also state corollaries of our main results.