Solution of the equation $y^{\prime }=f(y)$ and Bell Polynomials

Abstract

In this paper we use Faa di Bruno's formula to associate Bell polynomial values to differential equations of the form $y^{\prime }=f(y)$. 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.

13 pages

References in corpus (1)

• Derivatives of tangent function and tangent numbers