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

DOI10.1016/S0898-1221(01)00196-1zbMath0979.33006OpenAlexW1987218781MaRDI QIDQ5948837

Paolo Emilio Ricci, Pierpaolo Natalini

Publication date: 12 November 2001

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(01)00196-1

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Numerical approximation and evaluation of special functions (33F05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multi-dimensional generalizations of the Chebyshev polynomials. I
• Newton sum rules and monotonicity properties of the zeros of scaled co-recursive associated polynomials
• Sum rules for zeros of polynomials. II
• An Explicit Formula for $f(\mathcal{A})$ and the Generating Functions of the Generalized Lucas Polynomials
• Chebyshev Polynomials in Several Variables and the Radial Part of the Laplace-Beltrami Operator
• Tschebyscheffpolynome in mehreren Variablen.
• Sum rules for zeros of polynomials and generalized Lucas polynomials

This page was built for publication: Newton sum rules of polynomials defined by a three-term recurrence relation