Symbolic Computation of Newton Sum Rules for the Zeros of Polynomial Eigenfunctions of Linear Differential Operators期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Symbolic Computation of Newton Sum Rules for the Zeros of Polynomial Eigenfunctions of Linear Differential Operators

Authors:	Tiziana Isoni Pierpaolo Natalini Paolo E. Ricci

Affiliation:	(1) Dipartimento di Matematica, Università degli Studi di Roma La Sapienza, P.le A. Moro, 2-00185 Roma, Italy;(2) Dipartimento di Matematica, Università degli Studi Roma Tre, Largo San Leonardo Murialdo, 1-00146 Roma, Italy

Abstract:	A symbolic algorithm based on the generalized Lucas polynomials of first kind is used in order to compute the Newton sum rules for the zeros of polynomial eigenfunctions of linear differential operators with polynomial coefficients.

Keywords:	orthogonal polynomials differential equations with polynomial coefficients zero's distribution Newton sum rules generalized Lucas polynomials
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