TITLE:
A “Hard to Die” Series Expansion and Lucas Polynomials of the Second Kind
AUTHORS:
Pierpaolo Natalini, Paolo E. Ricci
KEYWORDS:
Homogeneous Linear Differential Systems with Constant Coefficients, Exponential Matrix, Lucas Polynomials of the Second Kind
JOURNAL NAME:
Applied Mathematics,
Vol.6 No.8,
July
14,
2015
ABSTRACT: We show how to use the Lucas polynomials of the second kind in the solution of a homogeneous linear differential system with constant coefficients, avoiding the Jordan canonical form for the relevant matrix.