Catalan Numbers, The Hankel Transform, And Fibonacci Numbers

dc.creatorCvetkovic A.
dc.creatorRajkovic P.
dc.creatorIvkovic M.
dc.date2002
dc.date2015-06-30T16:43:53Z
dc.date2015-11-26T15:35:14Z
dc.date2015-06-30T16:43:53Z
dc.date2015-11-26T15:35:14Z
dc.date.accessioned2018-03-28T22:43:48Z
dc.date.available2018-03-28T22:43:48Z
dc.identifier
dc.identifierJournal Of Integer Sequences. , v. 5, n. 1, p. - , 2002.
dc.identifier15307638
dc.identifier
dc.identifierhttp://www.scopus.com/inward/record.url?eid=2-s2.0-3042590901&partnerID=40&md5=9edad95585e4f0b8009ff91e5a2e50e1
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/101801
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/101801
dc.identifier2-s2.0-3042590901
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1263170
dc.descriptionWe prove that the Hankel transformation of a sequence whose elements are the sums of two adjacent Catalan numbers is, a subsequence of the Fibonacci numbers. This is done by finding the explicit form for the coefficients in the three-term recurrence relation that the corresponding orthogonal polynomials satisfy.
dc.description5
dc.description1
dc.description
dc.description
dc.descriptionChihara, T.S., (1978) An Introduction to Orthogonal Polynomials, , Gordon and Breach, New York
dc.descriptionGautschi, W., Orthogonal polynomials: Applications and computations (1996) Acta Numerica, 1996, pp. 45-119. , Cambridge University Press
dc.descriptionEncyclopedia of Combinatorial Structures, , http://algo.inria.fr/bin/encyclopodia?Search=ESCnb&argseach=431
dc.descriptionKrattenthaler, C., Advanced Determinant Calculus, , http://www.mat.iinivie.ac.at/People/kratt/artikel/detsurv.html
dc.descriptionLayman, J.W., The hankel transform and some of its properties (2001) Journal of Integer Sequences, 4. , Article 01.1.5
dc.descriptionPeart, P., Woan, W.J., Generating functions via hankel and stieltjes matrices (2000) Journal of Integer Sequences, 3 (2). , Article 00.2.1
dc.descriptionWoan, W.J., (2001) Hankel Matrices and Lattice Paths, Journal of Integer Sequences, 4. , Article 01.1.2
dc.descriptionSantos, J.P.O., Ivković, M., Fibonacci numbers and partitions Fibonacci Quarterly, , to appear
dc.descriptionSzegö, G., (1975) Orthogonal Polynomials, 23. , AMS, 4th. ed. (Colloquium publications)
dc.descriptionSloane, N.J.A., The On-line Encyclopedia of Integer Sequences, , http://www.research.att.com/~njas/sequences/
dc.descriptionTosić, R., (1999) Kombinatorika (in Serbian), , Univerzitet u Novom Sadu, Novi Sad
dc.descriptionVajda, S., (1989) Fibonacci and Lucas Numbers, and the Golden Section: Theory and Applications, , Halsted Press
dc.descriptionZeilberger, D., Amdeberhan, T., DODGSON: A Maple Package for Conjecturing and Proving Determinant Identities by Dodgson's Condensation Method, , http://astro.ocis.temple.edu/doron/programs.html
dc.languageen
dc.publisher
dc.relationJournal of Integer Sequences
dc.rightsfechado
dc.sourceScopus
dc.titleCatalan Numbers, The Hankel Transform, And Fibonacci Numbers
dc.typeArtículos de revistas


Este ítem pertenece a la siguiente institución