Solution of the Differential Equation $y^{(k)}=e^{ay}$, Special Values of Bell Polynomials and $(k,a)$-Autonomous Coefficients

zbMath1482.11034arXiv2103.13478MaRDI QIDQ5154717

Ronald Orozco López

Publication date: 5 October 2021

Full work available at URL: https://arxiv.org/abs/2103.13478

zbMATH Keywords

Stirling numberBell polynomialautonomous functionautonomous coefficientautonomous polynomial

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Nonlinear ordinary differential equations and systems (34A34)

Uses Software

• OEIS

Cites Work

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• Bell polynomials approach for two higher-order KdV-type equations in fluids
• Bell polynomials and differential equations of Freud-type polynomials
• Exponential polynomials
• Special values of the Bell polynomials of the second kind for some sequences and functions
• Faà di Bruno subalgebras of the Hopf algebra of planar trees from combinatorial Dyson-Schwinger equations.
• Some applications of the chromatic polynomials
• A linear binomial recurrence and the Bell numbers and polynomials
• Derivatives of composite functions

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