Poly-central factorial sequences and poly-central-Bell polynomials

Abstract In this paper, we introduce poly-central factorial sequences and poly-central Bell polynomials arising from the polyexponential functions, reducing them to central factorials and central Bell polynomials of the second kind respectively when k = 1 $k = 1$ . We also show some relations: betwe...

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Autores principales:	Hye Kyung Kim, Taekyun Kim
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Central factorials Central-Bell polynomials and numbers Modified polyexponential functions Stirling numbers of the first and second kind Type 2 Bernoulli polynomials of the second kind Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/c68fb5d7b113400884347c54d0efec0e
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spelling	oai:doaj.org-article:c68fb5d7b113400884347c54d0efec0e2021-11-28T12:08:22ZPoly-central factorial sequences and poly-central-Bell polynomials10.1186/s13662-021-03663-81687-1847https://doaj.org/article/c68fb5d7b113400884347c54d0efec0e2021-11-01T00:00:00Zhttps://doi.org/10.1186/s13662-021-03663-8https://doaj.org/toc/1687-1847Abstract In this paper, we introduce poly-central factorial sequences and poly-central Bell polynomials arising from the polyexponential functions, reducing them to central factorials and central Bell polynomials of the second kind respectively when k = 1 $k = 1$ . We also show some relations: between poly-central factorial sequences and power of x; between poly-central Bell polynomials and power of x; between poly-central Bell polynomials and the poly-Bell polynomials; between poly-central Bell polynomials and higher order type 2 Bernoulli polynomials of second kind; recurrence formula of poly-central Bell polynomials.Hye Kyung KimTaekyun KimSpringerOpenarticleCentral factorialsCentral-Bell polynomials and numbersModified polyexponential functionsStirling numbers of the first and second kindType 2 Bernoulli polynomials of the second kindMathematicsQA1-939ENAdvances in Difference Equations, Vol 2021, Iss 1, Pp 1-12 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Central factorials Central-Bell polynomials and numbers Modified polyexponential functions Stirling numbers of the first and second kind Type 2 Bernoulli polynomials of the second kind Mathematics QA1-939
spellingShingle	Central factorials Central-Bell polynomials and numbers Modified polyexponential functions Stirling numbers of the first and second kind Type 2 Bernoulli polynomials of the second kind Mathematics QA1-939 Hye Kyung Kim Taekyun Kim Poly-central factorial sequences and poly-central-Bell polynomials
description	Abstract In this paper, we introduce poly-central factorial sequences and poly-central Bell polynomials arising from the polyexponential functions, reducing them to central factorials and central Bell polynomials of the second kind respectively when k = 1 $k = 1$ . We also show some relations: between poly-central factorial sequences and power of x; between poly-central Bell polynomials and power of x; between poly-central Bell polynomials and the poly-Bell polynomials; between poly-central Bell polynomials and higher order type 2 Bernoulli polynomials of second kind; recurrence formula of poly-central Bell polynomials.
format	article
author	Hye Kyung Kim Taekyun Kim
author_facet	Hye Kyung Kim Taekyun Kim
author_sort	Hye Kyung Kim
title	Poly-central factorial sequences and poly-central-Bell polynomials
title_short	Poly-central factorial sequences and poly-central-Bell polynomials
title_full	Poly-central factorial sequences and poly-central-Bell polynomials
title_fullStr	Poly-central factorial sequences and poly-central-Bell polynomials
title_full_unstemmed	Poly-central factorial sequences and poly-central-Bell polynomials
title_sort	poly-central factorial sequences and poly-central-bell polynomials
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/c68fb5d7b113400884347c54d0efec0e
work_keys_str_mv	AT hyekyungkim polycentralfactorialsequencesandpolycentralbellpolynomials AT taekyunkim polycentralfactorialsequencesandpolycentralbellpolynomials
_version_	1718408223858360320

Poly-central factorial sequences and poly-central-Bell polynomials

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