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

Feng Qi

Feng Qi

  • School of Mathematical Sciences, Tianjin Polytechnic UniversityTianjin, China
  • College of Mathematics, Inner Mongolia University for NationalitiesTongliao, China
  • School of Mathematics and Informatics, Henan Polytechnic UniversityJiaozuo, China
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Qi, Feng
, 
Da-Wei Niu

Da-Wei Niu

Department of Mathematics, East China Normal UniversityShanghai, China
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Niu, Da-Wei
 and 
Bai-Ni Guo

Bai-Ni Guo

School of Mathematics and Informatics, Henan Polytechnic UniversityJiaozuo, China
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Guo, Bai-Ni
  
Mar 12, 2019
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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.

Language:
English
Publication timeframe:
3 times per year
Journal Subjects:
Mathematics, General Mathematics
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