Simplifying coefficients in differential equations associated with higher order Bernoulli numbers of the second kind

Autor:	Feng Qi, Da-Wei Niu, Bai-Ni Guo
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	simplification coefficient ordinary differential equation higher order Bernoulli number of the second kind Stirling number of the first kind Stirling number of the second kind inversion formula Bell polynomial of the second kind Faà di Bruno formula Mathematics QA1-939
Zdroj:	AIMS Mathematics, Vol 4, Iss 2, Pp 170-175 (2019)
Druh dokumentu:	article
ISSN:	2473-6988
DOI:	10.3934/math.2019.2.170/fulltext.html
Popis:	In the paper, by virtue of the Faà di Bruno formula, some properties of the Bell polynomials of the second kind, and an inversion formula for the Stirling numbers of the first and second kinds, the authors establish meaningfully and significantly two identities which simplify coefficients in a family of ordinary differential equations associated with higher order Bernoulli numbers of the second kind.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/e9c41b33d76b4628bf7d1dca2f123c9d Zobrazit plný text záznamu View record in DOAJ