Subclass of analytic functions with negative coefficients related with Miller-Ross-type Poisson distribution series

Basem Aref Frasin

doi:10.2478/ausm-2023-0007

Abstract

The purpose of the present paper is to find a necessary and sufficient condition for Miller-Ross-type Poisson distribution series to be in the class 𝒲_δ(α, γ, β) of analytic functions with negative coefficients .Also, we investigate several inclusion properties of the classes 𝒮^∗, 𝒦 and ℝ^τ(A, B) associated of the operator 𝕀_ν,c^m defined by this distribution. Further, we consider an integral operator related to Miller-Ross-type Poisson distribution series. Several corollaries and consequences of the main results are also considered.

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Subclass of analytic functions with negative coefficients related with Miller-Ross-type Poisson distribution series

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