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SIMPLIFYING AND FINDING ORDINARY DIFFERENTIAL EQUATIONS IN TERMS OF THE STIRLING NUMBERS

  • Qi, Feng (Institute of Mathematics, Henan Polytechnic University) ;
  • Wang, Jing-Lin (Teda No. 2 Primary School, Economic and Technological Development Zone) ;
  • Guo, Bai-Ni (School of Mathematics and Informatics, Henan Polytechnic University)
  • Received : 2018.03.03
  • Accepted : 2018.12.03
  • Published : 2018.12.30

Abstract

In the paper, by virtue of techniques in combinatorial analysis, the authors simplify three families of nonlinear ordinary differential equations in terms of the Stirling numbers of the first kind and establish a new family of nonlinear ordinary differential equations in terms of the Stirling numbers of the second kind.

Keywords

References

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  1. SIMPLIFYING COEFFICIENTS IN A FAMILY OF ORDINARY DIFFERENTIAL EQUATIONS RELATED TO THE GENERATING FUNCTION OF THE MITTAG-LEFFLER POLYNOMIALS vol.27, pp.2, 2018, https://doi.org/10.11568/kjm.2019.27.2.417
  2. Special values of the Bell polynomials of the second kind for some sequences and functions vol.491, pp.2, 2018, https://doi.org/10.1016/j.jmaa.2020.124382