Preprint Article Version 1 NOT YET PEER-REVIEWED

Viewing Some Ordinary Differential Equations from the Angle of Derivative Polynomials

Feng Qi 1,2,3,* and Bai-Ni Guo 4
  1. Institute of Mathematics, Henan Polytechnic University, Jiaozuo 454010, China
  2. College of Mathematics, Inner Mongolia University for Nationalities, Tongliao 028043, China
  3. Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin 300387, China
  4. School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo, 454010, China
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

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