Preprint Article Version 1 This version is not peer-reviewed

Viewing Some Ordinary Differential Equations from the Angle of Derivative Polynomials

Version 1 : Received: 12 October 2016 / Approved: 12 October 2016 / Online: 12 October 2016 (11:47:48 CEST)

How to cite: Qi, F.; Guo, B. Viewing Some Ordinary Differential Equations from the Angle of Derivative Polynomials. Preprints 2016, 2016100043 (doi: 10.20944/preprints201610.0043.v1). Qi, F.; Guo, B. Viewing Some Ordinary Differential Equations from the Angle of Derivative Polynomials. Preprints 2016, 2016100043 (doi: 10.20944/preprints201610.0043.v1).

Abstract

In the paper, the authors view some ordinary differential equations and their solutions from the angle of (the generalized) derivative polynomials and simplify some known identities for the Bernoulli numbers and polynomials, the Frobenius-Euler polynomials, the Euler numbers and polynomials, in terms of the Stirling numbers of the first and second kinds.

Subject Areas

viewpoint; ordinary differential equation; solution; derivative polynomial; identity; Stirling numbers; Bernoulli number; Bernoulli polynomial; Frobenius-Euler polynomial

Comments (1)

Comment 1
Received: 21 March 2019
Commenter: Feng Qi
Commenter's Conflict of Interests: I am the first and corresponding author
Comment: This preprint has been accepted on 23 May 2018 for publication in the Iranian Journal of Mathematical Sciences and Informatics
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