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

AM > Vol.6 No.8, July 2015

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

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DOI: 10.4236/am.2015.68116 3,162 Downloads 3,949 Views Citations

Author(s)

Pierpaolo Natalini^1*, Paolo E. Ricci²

Affiliation(s)

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

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

Share and Cite:

Natalini, P. and Ricci, P. (2015) A “Hard to Die” Series Expansion and Lucas Polynomials of the Second Kind. Applied Mathematics, 6, 1235-1240. doi: 10.4236/am.2015.68116.

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