Simplification of coefficients in differential equations associated with higher order Frobenius-Euler numbers

Year, pages: 2018, 67 - 76

In the paper, the authors apply Faá 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.

Qi, F., Niu, D., Guo, B. 2018. Simplification of coefficients in differential equations associated with higher order Frobenius-Euler numbers. In Tatra Mountains Mathematical Publications, vol. 72, no.2, pp. 67-76. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2018-0022

Qi, F., Niu, D., Guo, B. (2018). Simplification of coefficients in differential equations associated with higher order Frobenius-Euler numbers. Tatra Mountains Mathematical Publications, 72(2), 67-76. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2018-0022

Publisher: MU SAV