Mathematics (Mar 2024)

Starlike Functions of the Miller–Ross-Type Poisson Distribution in the Janowski Domain

  • Gangadharan Murugusundaramoorthy,
  • Hatun Özlem Güney,
  • Daniel Breaz

DOI
https://doi.org/10.3390/math12060795
Journal volume & issue
Vol. 12, no. 6
p. 795

Abstract

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In this paper, considering the various important applications of Miller–Ross functions in the fields of applied sciences, we introduced a new class of analytic functions f, utilizing the concept of Miller–Ross functions in the region of the Janowski domain. Furthermore, we obtained initial coefficients of Taylor series expansion of f, coefficient inequalities for f−1 and the Fekete–Szegö problem. We also covered some key geometric properties for functions f in this newly formed class, such as the necessary and sufficient condition, convex combination, sequential subordination and partial sum findings.

Keywords