Fully degenerate Bell polynomials associated with degenerate Poisson random variables

Many mathematicians have studied degenerate versions of quite a few special polynomials and numbers since Carlitz’s work (Utilitas Math. 15 (1979), 51–88). Recently, Kim et al. studied the degenerate gamma random variables, discrete degenerate random variables and two-variable degenerate Bell polyno...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autor principal:	Kim Hye Kyung
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	bell polynomials and numbers degenerate bell polynomials and numbers poisson random variable degenerate poisson random variable the poisson degenerate central moments 11b73 11b83 05a19 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/7b06038148cd4547a1a28ded946ce90e
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:7b06038148cd4547a1a28ded946ce90e
record_format	dspace
spelling	oai:doaj.org-article:7b06038148cd4547a1a28ded946ce90e2021-12-05T14:10:52ZFully degenerate Bell polynomials associated with degenerate Poisson random variables2391-545510.1515/math-2021-0022https://doaj.org/article/7b06038148cd4547a1a28ded946ce90e2021-05-01T00:00:00Zhttps://doi.org/10.1515/math-2021-0022https://doaj.org/toc/2391-5455Many mathematicians have studied degenerate versions of quite a few special polynomials and numbers since Carlitz’s work (Utilitas Math. 15 (1979), 51–88). Recently, Kim et al. studied the degenerate gamma random variables, discrete degenerate random variables and two-variable degenerate Bell polynomials associated with Poisson degenerate central moments, etc. This paper is divided into two parts. In the first part, we introduce a new type of degenerate Bell polynomials associated with degenerate Poisson random variables with parameter α>0\alpha \hspace{-0.15em}\gt \hspace{-0.15em}0, called the fully degenerate Bell polynomials. We derive some combinatorial identities for the fully degenerate Bell polynomials related to the nnth moment of the degenerate Poisson random variable, special numbers and polynomials. In the second part, we consider the fully degenerate Bell polynomials associated with degenerate Poisson random variables with two parameters α>0\alpha \gt 0 and β>0\beta \hspace{-0.15em}\gt \hspace{-0.15em}0, called the two-variable fully degenerate Bell polynomials. We show their connection with the degenerate Poisson central moments, special numbers and polynomials.Kim Hye KyungDe Gruyterarticlebell polynomials and numbersdegenerate bell polynomials and numberspoisson random variabledegenerate poisson random variablethe poisson degenerate central moments11b7311b8305a19MathematicsQA1-939ENOpen Mathematics, Vol 19, Iss 1, Pp 284-296 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	bell polynomials and numbers degenerate bell polynomials and numbers poisson random variable degenerate poisson random variable the poisson degenerate central moments 11b73 11b83 05a19 Mathematics QA1-939
spellingShingle	bell polynomials and numbers degenerate bell polynomials and numbers poisson random variable degenerate poisson random variable the poisson degenerate central moments 11b73 11b83 05a19 Mathematics QA1-939 Kim Hye Kyung Fully degenerate Bell polynomials associated with degenerate Poisson random variables
description	Many mathematicians have studied degenerate versions of quite a few special polynomials and numbers since Carlitz’s work (Utilitas Math. 15 (1979), 51–88). Recently, Kim et al. studied the degenerate gamma random variables, discrete degenerate random variables and two-variable degenerate Bell polynomials associated with Poisson degenerate central moments, etc. This paper is divided into two parts. In the first part, we introduce a new type of degenerate Bell polynomials associated with degenerate Poisson random variables with parameter α>0\alpha \hspace{-0.15em}\gt \hspace{-0.15em}0, called the fully degenerate Bell polynomials. We derive some combinatorial identities for the fully degenerate Bell polynomials related to the nnth moment of the degenerate Poisson random variable, special numbers and polynomials. In the second part, we consider the fully degenerate Bell polynomials associated with degenerate Poisson random variables with two parameters α>0\alpha \gt 0 and β>0\beta \hspace{-0.15em}\gt \hspace{-0.15em}0, called the two-variable fully degenerate Bell polynomials. We show their connection with the degenerate Poisson central moments, special numbers and polynomials.
format	article
author	Kim Hye Kyung
author_facet	Kim Hye Kyung
author_sort	Kim Hye Kyung
title	Fully degenerate Bell polynomials associated with degenerate Poisson random variables
title_short	Fully degenerate Bell polynomials associated with degenerate Poisson random variables
title_full	Fully degenerate Bell polynomials associated with degenerate Poisson random variables
title_fullStr	Fully degenerate Bell polynomials associated with degenerate Poisson random variables
title_full_unstemmed	Fully degenerate Bell polynomials associated with degenerate Poisson random variables
title_sort	fully degenerate bell polynomials associated with degenerate poisson random variables
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/7b06038148cd4547a1a28ded946ce90e
work_keys_str_mv	AT kimhyekyung fullydegeneratebellpolynomialsassociatedwithdegeneratepoissonrandomvariables
_version_	1718371648230391808

Fully degenerate Bell polynomials associated with degenerate Poisson random variables

Ejemplares similares