Symmetry (May 2023)

Radius Results for Certain Strongly Starlike Functions

  • Afis Saliu,
  • Kanwal Jabeen,
  • Qin Xin,
  • Fairouz Tchier,
  • Sarfraz Nawaz Malik

DOI
https://doi.org/10.3390/sym15051124
Journal volume & issue
Vol. 15, no. 5
p. 1124

Abstract

Read online

This article comprises the study of strongly starlike functions which are defined by using the concept of subordination. The function φ defined by φ(ζ)=(1+ζ)λ, 0λ1 maps the open unit disk in the complex plane to a domain symmetric with respect to the real axis in the right-half plane. Using this mapping, we obtain some radius results for a family of starlike functions. It is worth noting that all the presented results are sharp.

Keywords