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

Gangadharan Murugusundaramoorthy, Hatun oezlem Gueney, Daniel Breaz

MATHEMATICS(2024)

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摘要
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-Szego 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.
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关键词
analytic function,starlike function,subordination,Fekete-Szego inequality,Miller-Ross distribution series
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