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

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

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 famil...

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Bibliographic Details
Main Authors: Feng Qi, Da-Wei Niu, Bai-Ni Guo
Format: Article
Language:English
Published: AIMS Press 2019-02-01
Series:AIMS Mathematics
Subjects:
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
Online Access:https://www.aimspress.com/article/10.3934/math.2019.2.170/fulltext.html

Internet

https://www.aimspress.com/article/10.3934/math.2019.2.170/fulltext.html

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