Simplification of Coefficients in Differential Equations Associated with Higher Order Frobenius-Euler Numbers
, and | Mar 12, 2019
Published Online: Mar 12, 2019
Page range: 67 - 76
Received: Jul 09, 2018
DOI: https://doi.org/10.2478/tmmp-2018-0022
Keywords
© 2018 Feng Qi et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
In the paper, the authors apply Faà di Bruno formula, some properties of the Bell polynomials of the second kind, the inversion formulas of binomial numbers and the Stirling numbers of the first and the second kind, to significantly simplify coefficients in two families of ordinary differential equations associated with the higher order Frobenius–Euler numbers.