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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.
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참고문헌 (10)
참고문헌 신청
L. Comtet / 1974 / Advanced Combinatorics: The Art of Finite and Infinite Expansions / D. Reidel Publishing Co.
Gwan-Woo Jang / 2017 / Some identities of degenerate Daehee numbers arising from nonlinear differential equation / Advances in Difference Equations 2017(1)
김대산 / 2015 / SOME IDENTITIES FOR BERNOULLI NUMBERS OF THE SECOND KIND ARISING FROM A NON-LINEAR DIFFERENTIAL EQUATION / 대한수학회보 52(6):2001~2010
Taekyun Kim / 2017 / Some identities of degenerate Daehee numbers arising from certain differential equations / The Journal of Nonlinear Sciences and Applications 10(02):744~751
F. Qi / 2016 / Diagonal recurrence relations for the Stirling numbers of the first kind / Contrib. Discrete Math 11:22~30
Gwan-Woo Jang / 2017 / Some identities of degenerate Daehee numbers arising from nonlinear differential equation / Advances in Difference Equations 2017(1)
김대산 / 2015 / SOME IDENTITIES FOR BERNOULLI NUMBERS OF THE SECOND KIND ARISING FROM A NON-LINEAR DIFFERENTIAL EQUATION / 대한수학회보 52(6):2001~2010
Taekyun Kim / 2017 / Some identities of degenerate Daehee numbers arising from certain differential equations / The Journal of Nonlinear Sciences and Applications 10(02):744~751
F. Qi / 2016 / Diagonal recurrence relations for the Stirling numbers of the first kind / Contrib. Discrete Math 11:22~30
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