Subclass of analytic functions with negative coefficients related with Miller-Ross-type Poisson distribution series
Nov 15, 2023
About this article
Published Online: Nov 15, 2023
Page range: 109 - 122
Received: May 19, 2022
DOI: https://doi.org/10.2478/ausm-2023-0007
Keywords
© 2023 Basem Aref Frasin, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
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 𝒲δ(α, γ, β) of analytic functions with negative coefficients .Also, we investigate several inclusion properties of the classes 𝒮∗, 𝒦 and ℝτ(A, B) associated of the operator 𝕀ν,cm 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.