Theoretical analysis reveals membership conditions for Poisson-associated linear and integral operators in analytic function subclasses, highlighting geometric constraints governed by series...
In this work, we studied the geometric properties of linear operators associated with the Poisson distribution series. The primary objective is to establish criteria for these linear operators using coefficient bounds from a certain subclass. This allows the linear operators to be in various subclasses of normalized analytic functions. Additionally, the study investigates how integral operators associated with the Poisson distribution series fall into different subclasses of analytic functions. Various results are obtained for these operators, depending on the particular values of the parameters.
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Giri et al. (2026) studied this question.
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