Combinatorics of generalized Tchebycheff polynomials

Authors:
Dongsu Kim;Jiang Zeng
Affiliations:
Department of Mathematics, KAIST, Daejeon 305-701, Republic of Korea;Institut Girard Desargues, Université Claude Bernard (Lyon 1), France
Venue:
European Journal of Combinatorics
Year:
2003

Citing 6
Cited 1

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Abstract

By considering a family of orthogonal polynomials generalizing the Tchebycheff polynomials of the second kind we refine the corresponding results of De Sainte-Catherine and Viennot on Tchebycheff polynomials of the second kind (Lecture Notes in Mathematics, vol. 1171, 1985, Springer-Verlag, 120).