Preprint Article Version 1 This version not peer reviewed

Simplification of Coefficients in Differential Equations Associated with Higher Order Frobenius–Euler Numbers

Version 1 : Received: 4 August 2017 / Approved: 4 August 2017 / Online: 4 August 2017 (15:47:44 CEST)

How to cite: Qi, F.; Niu, D.; Guo, B. Simplification of Coefficients in Differential Equations Associated with Higher Order Frobenius–Euler Numbers. Preprints 2017, 2017080017 (doi: 10.20944/preprints201708.0017.v1). Qi, F.; Niu, D.; Guo, B. Simplification of Coefficients in Differential Equations Associated with Higher Order Frobenius–Euler Numbers. Preprints 2017, 2017080017 (doi: 10.20944/preprints201708.0017.v1).

Abstract

In the paper, by virtue of the Fa`a di Bruno formula, some properties of the Bell polynomials of the second kind, and the inversion formulas of binomial numbers and the Stirling numbers of the first and second kinds, the authors simplify meaningfully and significantly coefficients in two families of ordinary differential equations associated with higher order Frobenius–Euler numbers.

Subject Areas

simplification; coefficient; ordinary differential equation; higher order Frobenius–Euler number; Fa`a di Bruno formula; Bell polynomial of the second kind; inversion formula

Readers' Comments and Ratings (0)

Leave a public comment
Send a private comment to the author(s)
Rate this article
Views 0
Downloads 0
Comments 0
Metrics 0
Leave a public comment

×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.