Duplication coefficients via generating functions

Chaggara, Hamza; Koepf, Wolfram

dc.date.accessioned	2006-11-09T14:10:32Z
dc.date.available	2006-11-09T14:10:32Z
dc.date.issued	2006
dc.identifier.uri	urn:nbn:de:hebis:34-2006110915657
dc.identifier.uri	http://hdl.handle.net/123456789/2006110915657
dc.format.extent	132225 bytes
dc.format.extent	129766 bytes
dc.format.mimetype	application/pdf
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.rights	Urheberrechtlich geschützt
dc.rights.uri	https://rightsstatements.org/page/InC/1.0/
dc.subject	Duplication coefficients	eng
dc.subject	generating functions	eng
dc.subject	Brenke polynomials	eng
dc.subject	Boas-Buck polynomials	eng
dc.subject	Brafman polynomials	eng
dc.subject	Chaunday polynomials	eng
dc.subject	Gould-Hopper polynomials	eng
dc.subject	Hermite polynomials	eng
dc.subject	Laguerre polynomials	eng
dc.subject	Jacobi polynomials	eng
dc.subject	Charlier polynomials	eng
dc.subject	Meixner polynomials	eng
dc.subject	Krawtchouk polynomials	eng
dc.subject	classical discrete orthogonal polynomials	eng
dc.subject.ddc	510
dc.title	Duplication coefficients via generating functions	eng
dc.type	Preprint
dcterms.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.	eng
dcterms.accessRights	open access
dcterms.creator	Chaggara, Hamza
dcterms.creator	Koepf, Wolfram
dcterms.isPartOf	Mathematische Schriften Kassel ;; 06, 05	ger
dcterms.source.journal	Mathematische Schriften Kassel	ger
dcterms.source.volume	06, 05