<abstract xmlns="http://www.w3.org/1999/xhtml">

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.
</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 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.

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

Faculty of Science, Department of Mathematics

Acta Universitatis Sapientiae, Mathematica

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,...

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

Published Online: Nov 15, 2023

Page range: 109 - 122

Received: May 19, 2022

DOI: https://doi.org/10.2478/ausm-2023-0007

Keywords
Analytic functions, starlike functions, convex functions, Hadamard product, Miller-Ross-type Poisson distribution series

© 2023 Basem Aref Frasin, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

Published Online: Nov 15, 2023

Page range: 109 - 122

Received: May 19, 2022

DOI: https://doi.org/10.2478/ausm-2023-0007

KeywordsAnalytic functions, starlike functions, convex functions, Hadamard product, Miller-Ross-type Poisson distribution series

© 2023 Basem Aref Frasin, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Analytic functions, starlike functions, convex functions, Hadamard product, Miller-Ross-type Poisson distribution series