Research article

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

  • Received: 21 December 2018 Accepted: 14 February 2019 Published: 19 February 2019
  • MSC : Primary 34A05; Secondary 11A25, 11B68, 11B73, 11B83

  • 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.

    Citation: Feng Qi, Da-Wei Niu, Bai-Ni Guo. Simplifying coefficients in differential equations associated with higher order Bernoulli numbers of the second kind[J]. AIMS Mathematics, 2019, 4(2): 170-175. doi: 10.3934/math.2019.2.170

    Related Papers:

  • 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.


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