Simplifying differential equations concerning degenerate Bernoulli and Euler numbers
type: Item
instance of: scholarly article
title: Simplifying differential equations concerning degenerate Bernoulli and Euler numbers
zbMATH Open document ID: 1391.34028
author: Feng Qi
author: Jing-Lin Wang
author: Bai-Ni Guo
published in: Transactions of A. Razmadze Mathematical Institute
publication date: 2018-05-16T00:00:00Z
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 11B68
Mathematics Subject Classification ID: 11B73
zbMATH DE Number: 6869075
zbMATH Keywords: nonlinear ordinary differential equation
zbMATH Keywords: Stirling number of the first kind
zbMATH Keywords: Stirling number of the second kind
zbMATH Keywords: Bernoulli number
zbMATH Keywords: Euler number
MaRDI profile type: Publication
full work available at URL: j.trmi.2017.08.001
OpenAlex ID: W2745979020
cites work: Higher recurrences for Apostol-Bernoulli-Euler numbers
cites work: SOME IDENTITIES FOR BERNOULLI NUMBERS OF THE SECOND KIND ARISING FROM A NON-LINEAR DIFFERENTIAL EQUATION
cites work: Some identities of degenerate Daehee numbers arising from certain differential equations
cites work: Explicit formulas for computing Bernoulli numbers of the second kind and Stirling numbers of the first kind
cites work: Diagonal recurrence relations for the Stirling numbers of the first kind
cites work: A new formula for the Bernoulli numbers of the second kind in terms of the Stirling numbers of the first kind
cites work: Integral representations and properties of Stirling numbers of the first kind
cites work: Explicit formulas for special values of the Bell polynomials of the second kind and for the Euler numbers and polynomials
cites work: A closed form for the Stirling polynomials in terms of the Stirling numbers
cites work: Derivative polynomials of a function related to the Apostol-Euler and Frobenius-Euler numbers
cites work: Explicit formulae for computing Euler polynomials in terms of Stirling numbers of the second kind
cites work: Some identities involving exponential functions and Stirling numbers and applications
cites work: Some identities and an explicit formula for Bernoulli and Stirling numbers
cites work: Complete monotonicity of functions connected with the exponential function and derivatives
cites work: Closed formulas for computing higher-order derivatives of functions involving exponential functions
cites work: Explicit formulas and recurrence relations for higher order Eulerian polynomials
DOI: 10.1016/J.TRMI.2017.08.001
description: scientific article; zbMATH DE number 6869075