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

Author

Listed:
  • Gangadharan Murugusundaramoorthy

    (Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (VIT), Vellore 632014, India)

  • Hatun Özlem Güney

    (Department of Mathematics, Faculty of Science, Dicle University, Diyarbakır 21280, Türkiye)

  • Daniel Breaz

    (Department of Exact Sciences and Engineering, Universitatea 1 Decembrie 1918 din Alba Iulia, 510009 Alba Iulia, Romania)

Abstract

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.

Suggested Citation

  • Gangadharan Murugusundaramoorthy & Hatun Özlem Güney & Daniel Breaz, 2024. "Starlike Functions of the Miller–Ross-Type Poisson Distribution in the Janowski Domain," Mathematics, MDPI, vol. 12(6), pages 1-17, March.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:6:p:795-:d:1353752
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