Preprint
Duplication coefficients via generating functions
Zusammenfassung
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.
Zitieren
@article{urn:nbn:de:hebis:34-2006110915657,
author={Chaggara, Hamza and Koepf, Wolfram},
title={Duplication coefficients via generating functions},
year={2006}
}
0500 Oax 0501 Text $btxt$2rdacontent 0502 Computermedien $bc$2rdacarrier 1100 2006$n2006 1500 1/eng 2050 ##0##urn:nbn:de:hebis:34-2006110915657 3000 Chaggara, Hamza 3010 Koepf, Wolfram 4000 Duplication coefficients via generating functions / Chaggara, Hamza 4030 4060 Online-Ressource 4085 ##0##=u http://nbn-resolving.de/urn:nbn:de:hebis:34-2006110915657=x R 4204 \$dPreprint 4170 Mathematische Schriften Kassel ;; 06, 05 7136 ##0##urn:nbn:de:hebis:34-2006110915657
2006-11-09T14:10:32Z 2006-11-09T14:10:32Z 2006 urn:nbn:de:hebis:34-2006110915657 http://hdl.handle.net/123456789/2006110915657 132225 bytes 129766 bytes application/pdf application/pdf eng Urheberrechtlich geschützt https://rightsstatements.org/page/InC/1.0/ Duplication coefficients generating functions Brenke polynomials Boas-Buck polynomials Brafman polynomials Chaunday polynomials Gould-Hopper polynomials Hermite polynomials Laguerre polynomials Jacobi polynomials Charlier polynomials Meixner polynomials Krawtchouk polynomials classical discrete orthogonal polynomials 510 Duplication coefficients via generating functions Preprint 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. open access Chaggara, Hamza Koepf, Wolfram Mathematische Schriften Kassel ;; 06, 05 Mathematische Schriften Kassel 06, 05
Die folgenden Lizenzbestimmungen sind mit dieser Ressource verbunden:
Verwandte Dokumente
Anzeige der Dokumente mit ähnlichem Titel, Autor, Urheber und Thema.
-
PreprintOrthogonal polynomials and recurrence equations, operator equations and factorization Koepf, Wolfram (Universität Kassel, FB 17, Mathematik/Informatik, 2005)
-
AufsatzOn Multivariate Bernstein Polynomials Foupouagnigni, Mama; Wouodjié, Merlin Mouafo (2020-08-21)