Newton sum rules of polynomials defined by a three-term recurrence relation

Authors
Natalini, P Ricci, PE
Citation
P. Natalini et Pe. Ricci, Newton sum rules of polynomials defined by a three-term recurrence relation, COMPUT MATH, 42(6-7), 2001, pp. 767-771
Citations number
17
Categorie Soggetti
Computer Science & Engineering
Journal title
COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN journal
08981221 → ACNP
Volume
42
Issue
6-7
Year of publication
2001
Pages
767 - 771
Database
ISI
SICI code
0898-1221(200109/10)42:6-7<767:NSROPD>2.0.ZU;2-3
Abstract
We derive a general formula for computing the Newton sum rules of every pol ynomial belonging to a given polynomial set. We use the following tools: a recursive computation of the coefficients of the given polynomial in terms of the coefficients of the three-term recurrence relation, the generalized Lucas polynomials of the first kind, and last, the Newton-Girard formulas. (C) 2001 Elsevier Science Ltd. All rights reserved.