A “Hard to Die” Series Expansion and Lucas Polynomials of the Second Kind

Pierpaolo Natalini^1*, Paolo E. Ricci²

¹Dipartimento di Matematica e Fisica, Università degli Studi Roma Tre, Roma, Italia.
²International Telematic University UNINETTUNO, Roma, Italia.

DOI: 10.4236/am.2015.68116                

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.

Keywords

Homogeneous Linear Differential Systems with Constant Coefficients, Exponential Matrix, Lucas Polynomials of the Second Kind

Conflicts of Interest

The authors declare no conflicts of interest.

References

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