Simplifying and finding ordinary differential equations in terms of the stirling numbers

DOI10.11568/KJM.2018.26.4.675zbMath1440.11012OpenAlexW2906884397MaRDI QIDQ5204461

Jing-Lin Wang, Bai-Ni Guo, Feng Qi

Publication date: 4 December 2019

Full work available at URL: http://kkms.org/index.php/kjm/article/download/629/435

zbMATH Keywords

nonlinear ordinary differential equationcombinatorial analysisStirling number of the second kindStirling number of the first kind

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Nonlinear ordinary differential equations and systems (34A34) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (6)

Unnamed Item ⋮ Special values of the Bell polynomials of the second kind for some sequences and functions ⋮ Explicit Expressions Related to Degenerate Cauchy Numbers and Their Generating Function ⋮ Simplifying coefficients in differential equations associated with higher order Bernoulli numbers of the second kind ⋮ Unnamed Item ⋮ Simplifying coefficients in a family of ordinary differential equations related to the generating function of the Mittag--Leffler polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• Some identities of degenerate Daehee numbers arising from nonlinear differential equation
• Explicit formulas for computing Bernoulli numbers of the second kind and Stirling numbers of the first kind
• SOME IDENTITIES FOR BERNOULLI NUMBERS OF THE SECOND KIND ARISING FROM A NON-LINEAR DIFFERENTIAL EQUATION
• Some identities of degenerate Daehee numbers arising from certain differential equations
• Diagonal recurrence relations for the Stirling numbers of the first kind

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