Combinatorics of generalized Tchebycheff polynomials.
type: Item
instance of: scholarly article
title: Combinatorics of generalized Tchebycheff polynomials.
zbMATH Open document ID: 1061.33010
DOI: 10.1016/S0195-6698(03)00046-5
author: Dongsu Kim
author: Jiang Zeng
published in: European Journal of Combinatorics
publication date: 2003-07-30T00:00:00Z
review text: By considering a family of orthogonal polynomials generalizing the Chebyshev polynomials of the second kind the authors refine the corresponding results of \textit{M. de Sainte-Catherine} and \textit{G. Viennot} on Chebyshev polynomials of the second kind in [Lect. Notes Math. 1171, 120--128 (1985; Zbl 0587.05003)].
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 05E35
Mathematics Subject Classification ID: 05A15
zbMATH DE Number: 1957112
zbMATH Keywords: orthogonal polynomials
zbMATH Keywords: generalized Chebyshev polynomials
zbMATH Keywords: Chebyshev polynomials
zbMATH Keywords: generating function
reviewed by: Barbara Baumeister
MaRDI profile type: Publication
cites work: Q5614108
cites work: Q4052393
cites work: Q4170993
cites work: The combinatorics of \(q\)-Charlier polynomials
cites work: Q3714083
cites work: Laguerre Polynomials, Weighted Derangements, and Positivity
cites work: Q3035283
cites work: A Combinatorial Approach to Some Positivity Problems
cites work: A combinatorial formula for the linearization coefficients of general Sheffer polynomials
cites work: Q4236280
cites work: Octabasic Laguerre polynomials and permutation statistics
cites work: Constraint-sensitive Catalan path statistics having the Narayana distribution
cites work: Orthogonal polynomials and enumeration problems in molecular biology
full work available at URL: s0195-6698(03)00046-5
OpenAlex ID: W2019818244
description: scientific article; zbMATH DE number 1957112