On Miller–Ross-Type Poisson Distribution Series-Reference-Cited by-同舟云学术

On Miller–Ross-Type Poisson Distribution Series

Published:2023-09-20 Issue:18 Volume:11 Page:3989
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Frasin Basem Aref¹^ORCID,Cotîrlă Luminiţa-Ioana²^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Science, Al al-Bayt University, Mafraq 25113, Jordan

2. Department of Mathematics, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania

Abstract

The objective of the current paper is to find the necessary and sufficient conditions for Miller–Ross-type Poisson distribution series to be in the classes ST*(γ,β) and KT(γ,β) of analytic functions with negative coefficients. Furthermore, we investigate several inclusion properties of the class Yσ(V,W) associated of the operator Iα,cε defined by this distribution. We also take into consideration an integral operator connected to series of Miller–Ross-type Poisson distributions. Special cases of the main results are also considered.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/18/3989/pdf

Reference37 articles.

1. Miller, K.S., and Ross, B. (1993). An Introduction to the Fractional Calculus and Fractional Differential Equations, John Wiley and Sons.

2. Über die Nullstellun der Funcktionen E(x);Wiman;Acta Math.,1905

3. Some applications of Mittag–Leffler function in the unit disk;Attiya;Filomat,2016

4. Certain geometric properties of the Mittag–Leffler functions;Bansal;Complex Var. Elliptic Equ.,2016

5. A Mittag–Leffler-type function of two variables;Garg;Integral Transforms Spec. Funct.,2013