Motzkin numbers, central trinomial coefficients and hybrid polynomials

dc.creatorBlasiak, P.
dc.creatorDattoli, G.
dc.creatorHorzela, A.
dc.creatorPenson, K. A.
dc.creatorZhukovsky, K.
dc.date2008-02-01
dc.date.accessioned2026-07-07T09:18:14Z
dc.date.available2026-07-07T09:18:14Z
dc.descriptionWe show that the formalism of hybrid polynomials, interpolating between Hermite and Laguerre polynomials, is very useful in the study of Motzkin numbers and central trinomial coefficients. These sequences are identified as special values of hybrid polynomials, a fact which we use to derive their generalized forms and new identities satisfied by them.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/0802.0075
dc.identifierhttp://arxiv.org/abs/0802.0075
dc.identifierJournal of Integer Sequences, Vol. 11, 2008, Article 08.1.1
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153951
dc.subjectCombinatorics
dc.subjectGeneral Mathematics
dc.subject11B83; 05A19; 33C45
dc.titleMotzkin numbers, central trinomial coefficients and hybrid polynomials
dc.typetext

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