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

Feng Qi | Zendy; DaWei Niu | Zendy; BaiNi Guo | Zendy

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

Author(s) -

Feng Qi,

DaWei Niu,

BaiNi Guo

Publication year - 2019

Publication title -

aims mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.329

H-Index - 15

ISSN - 2473-6988

DOI - 10.3934/math.2019.2.170

Subject(s) - bernoulli's principle , bernoulli differential equation , order (exchange) , mathematics , differential equation , differential (mechanical device) , bernoulli number , mathematical analysis , linear differential equation , physics , thermodynamics , economics , combinatorics , exact differential equation , finance

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. E-mail addresses: qifeng618@gmail.com, qifeng618@hotmail.com, qifeng618@qq.com, nnddww@gmail.com, bai.ni.guo@gmail.com, bai.ni.guo@hotmail.com. 2010 Mathematics Subject Classification. Primary 34A05; Secondary 11A25, 11B68, 11B73, 11B83.

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