Several explicit formulas for (degenerate) Narumi and Cauchy polynomials and numbers

In this paper, with the aid of the Faà di Bruno formula and by virtue of properties of the Bell polynomials of the second kind, the authors define a kind of notion of degenerate Narumi numbers and polynomials, establish explicit formulas for degenerate Narumi numbers and polynomials, and derive expl...

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Autores principales:	Qi Feng, Dağlı Muhammet Cihat, Lim Dongkyu
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	narumi number narumi polynomial cauchy number degenerate cauchy number explicit formula bell polynomial of the second kind faà di bruno formula generating function 11b83 11c08 33b10 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/3acf51459d5f4ee98c069b9881a2cabd
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spelling	oai:doaj.org-article:3acf51459d5f4ee98c069b9881a2cabd2021-12-05T14:10:53ZSeveral explicit formulas for (degenerate) Narumi and Cauchy polynomials and numbers2391-545510.1515/math-2021-0079https://doaj.org/article/3acf51459d5f4ee98c069b9881a2cabd2021-08-01T00:00:00Zhttps://doi.org/10.1515/math-2021-0079https://doaj.org/toc/2391-5455In this paper, with the aid of the Faà di Bruno formula and by virtue of properties of the Bell polynomials of the second kind, the authors define a kind of notion of degenerate Narumi numbers and polynomials, establish explicit formulas for degenerate Narumi numbers and polynomials, and derive explicit formulas for the Narumi numbers and polynomials and for (degenerate) Cauchy numbers.Qi FengDağlı Muhammet CihatLim DongkyuDe Gruyterarticlenarumi numbernarumi polynomialcauchy numberdegenerate cauchy numberexplicit formulabell polynomial of the second kindfaà di bruno formulagenerating function11b8311c0833b10MathematicsQA1-939ENOpen Mathematics, Vol 19, Iss 1, Pp 833-849 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	narumi number narumi polynomial cauchy number degenerate cauchy number explicit formula bell polynomial of the second kind faà di bruno formula generating function 11b83 11c08 33b10 Mathematics QA1-939
spellingShingle	narumi number narumi polynomial cauchy number degenerate cauchy number explicit formula bell polynomial of the second kind faà di bruno formula generating function 11b83 11c08 33b10 Mathematics QA1-939 Qi Feng Dağlı Muhammet Cihat Lim Dongkyu Several explicit formulas for (degenerate) Narumi and Cauchy polynomials and numbers
description	In this paper, with the aid of the Faà di Bruno formula and by virtue of properties of the Bell polynomials of the second kind, the authors define a kind of notion of degenerate Narumi numbers and polynomials, establish explicit formulas for degenerate Narumi numbers and polynomials, and derive explicit formulas for the Narumi numbers and polynomials and for (degenerate) Cauchy numbers.
format	article
author	Qi Feng Dağlı Muhammet Cihat Lim Dongkyu
author_facet	Qi Feng Dağlı Muhammet Cihat Lim Dongkyu
author_sort	Qi Feng
title	Several explicit formulas for (degenerate) Narumi and Cauchy polynomials and numbers
title_short	Several explicit formulas for (degenerate) Narumi and Cauchy polynomials and numbers
title_full	Several explicit formulas for (degenerate) Narumi and Cauchy polynomials and numbers
title_fullStr	Several explicit formulas for (degenerate) Narumi and Cauchy polynomials and numbers
title_full_unstemmed	Several explicit formulas for (degenerate) Narumi and Cauchy polynomials and numbers
title_sort	several explicit formulas for (degenerate) narumi and cauchy polynomials and numbers
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/3acf51459d5f4ee98c069b9881a2cabd
work_keys_str_mv	AT qifeng severalexplicitformulasfordegeneratenarumiandcauchypolynomialsandnumbers AT daglımuhammetcihat severalexplicitformulasfordegeneratenarumiandcauchypolynomialsandnumbers AT limdongkyu severalexplicitformulasfordegeneratenarumiandcauchypolynomialsandnumbers
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Several explicit formulas for (degenerate) Narumi and Cauchy polynomials and numbers

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