Identities involving Narayana polynomials and Catalan numbers

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dc.creatorMansour, Toufik
dc.creatorSun, Yidong
dc.date2008-05-09
dc.date.accessioned2026-07-07T09:37:58Z
dc.date.available2026-07-07T09:37:58Z
dc.descriptionWe first establish the result that the Narayana polynomials can be represented as the integrals of the Legendre polynomials. Then we represent the Catalan numbers in terms of the Narayana polynomials by three different identities. We give three different proofs for these identities, namely, two algebraic proofs and one combinatorial proof. Some applications are also given which lead to many known and new identities.
dc.description13 pages,6 figures
dc.identifierhttps://arxiv.org/abs/0805.1274
dc.identifierhttp://arxiv.org/abs/0805.1274
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160646
dc.subjectCombinatorics
dc.subject05A05;05A15
dc.titleIdentities involving Narayana polynomials and Catalan numbers
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