Solution of the equation $y^{\prime}=f(y)$ and Bell Polynomials
Dynamical Systems
2023-06-22 v4 Combinatorics
Rings and Algebras
Abstract
In this paper we use Faa di Bruno's formula to associate Bell polynomial values to differential equations of the form . That is, we use partial Bell polynomials to represent the solution of such an equation and use the solution to compute special values of partial Bell polynomials.
Keywords
Cite
@article{arxiv.1901.05054,
title = {Solution of the equation $y^{\prime}=f(y)$ and Bell Polynomials},
author = {Ronald Orozco López},
journal= {arXiv preprint arXiv:1901.05054},
year = {2023}
}
Comments
13 pages