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

Gangadharan Murugusundaramoorthy, Hatun Özlem Güney () and Daniel Breaz
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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

Mathematics, 2024, vol. 12, issue 6, 1-17

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.

Keywords: analytic function; starlike function; subordination; Fekete–Szegö inequality; Miller–Ross distribution series (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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