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Asymptotic normality of the coefficients of polynomials related to the classical system orthogonal ones

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Publication:1301838
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DOI10.1016/S0012-365X(98)00290-8zbMath0939.33009OpenAlexW2134836912MaRDI QIDQ1301838

Andreas George Kyriakoussis, Malvina G. Vamvakari

Publication date: 27 June 2000

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0012-365x(98)00290-8


zbMATH Keywords

asymptotic normalityclassical orthogonal polynomialscombinatorial numbersdouble indexed sequences of nonnegative numbers


Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)


Related Items (3)

Asymptotic normality of the coefficients of polynomials associated with the Gegenbauer ones ⋮ A unified treatment for the asymptotic normality of the coefficients of polynomials related to orthogonal ones ⋮ Limit theorems for numbers satisfying a class of triangular arrays







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