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Title: Duplication coefficients via generating functions
Authors: Chaggara, HamzaKoepf, Wolfram
???metadata.dc.subject.ddc???: 510 - Mathematik (Mathematics)
Issue Date: 2006
Series/Report no.: Mathematische Schriften Kassel06, 05
Abstract: In this paper, we solve the duplication problem P_n(ax) = sum_{m=0}^{n}C_m(n,a)P_m(x) where {P_n}_{n>=0} belongs to a wide class of polynomials, including the classical orthogonal polynomials (Hermite, Laguerre, Jacobi) as well as the classical discrete orthogonal polynomials (Charlier, Meixner, Krawtchouk) for the specific case a = −1. We give closed-form expressions as well as recurrence relations satisfied by the duplication coefficients.
URI: urn:nbn:de:hebis:34-2006110915657
Appears in Collections:Mathematische Schriften Kassel

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