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

• 作者: Paolo E. Ricci Pierpaolo Natalini
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: HOMOGENEOUS Linear Differential Systems with Constant COEFFICIENTS EXPONENTIAL Matrix Lucas POLYNOMIALS of the SECOND KIND
• 年，卷（期）: 2015,（8）
• 页码范围: 1235-1240
• 页数: 6页
• 分类号: O1

摘要

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.