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

Basem Aref Frasin

doi:10.2478/ausm-2023-0007

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

Acta Universitatis Sapientiae, Mathematica

Volume 15 (2023): Issue 1 (November 2023)

By: Basem Aref Frasin

Open Access

|Nov 2023

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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Articles in this issue

DOI: https://doi.org/10.2478/ausm-2023-0007 | Journal eISSN: 2066-7752

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Language: English

Page range: 109 - 122

Submitted on: May 19, 2022

Published online: Nov 15, 2023

Published in print: Nov 1, 2023

Published by: Sapientia Hungarian University of Transylvania

In partnership with: Paradigm Publishing Services

Keywords:

Miller-Ross-type Poisson distribution series

MSC:

30C45

Related subjects:

Mathematics,

General mathematics

© 2023 Basem Aref Frasin, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 15 (2023): Issue 1 (November 2023)