dc.creator | Area I. | |
dc.creator | Dimitrov D.K. | |
dc.creator | Godoy E. | |
dc.creator | Paschoa V.G. | |
dc.date | 2013 | |
dc.date | 2015-06-25T19:10:06Z | |
dc.date | 2015-11-26T15:07:54Z | |
dc.date | 2015-06-25T19:10:06Z | |
dc.date | 2015-11-26T15:07:54Z | |
dc.date.accessioned | 2018-03-28T22:18:20Z | |
dc.date.available | 2018-03-28T22:18:20Z | |
dc.identifier | | |
dc.identifier | Mathematics Of Computation. , v. 82, n. 282, p. 1069 - 1095, 2013. | |
dc.identifier | 255718 | |
dc.identifier | 10.1090/S0025-5718-2012-02646-9 | |
dc.identifier | http://www.scopus.com/inward/record.url?eid=2-s2.0-84873271277&partnerID=40&md5=3396b8368183f336db6c0d74ac4b4e1d | |
dc.identifier | http://www.repositorio.unicamp.br/handle/REPOSIP/88448 | |
dc.identifier | http://repositorio.unicamp.br/jspui/handle/REPOSIP/88448 | |
dc.identifier | 2-s2.0-84873271277 | |
dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1257569 | |
dc.description | In this paper we obtain sharp bounds for the zeros of classical orthogonal polynomials of a discrete variable, considered as functions of a parameter, by using a theorem of A. Markov and the so-called Hellmann-Feynman theorem. Comparisons with previous results for zeros of Hahn, Meixner, Kravchuk and Charlier polynomials are also presented. © 2012 American Mathematical Society. | |
dc.description | 82 | |
dc.description | 282 | |
dc.description | 1069 | |
dc.description | 1095 | |
dc.description | Andrews, G., Askey, R., Roy, R., Special Functions (1999), Cambridge Univ. Press, CambridgeArea, I., Dimitrov, D.K., Godoy, E., Ronveaux, A., Zeros of Gegenbauer and Hermite polynomials and connection coefficients (2004) Math. Comp., 73, pp. 1937-1951 | |
dc.description | Area, I., Dimitrov, D.K., Godoy, E., Rafaeli, F.R., Inequalities for zeros of Jacobi polyno- mials via Obrechkoff's theorem (2012) Math. Comp, 81, pp. 991-1004 | |
dc.description | Björck, A., (1996) Numerical Methods for Least Squares Problems, , SIAM, Philadelphia PA | |
dc.description | Borodin, A., Ferrari, P.L., Prähofer, M., Sasamoto, T., Fluctuation properties of the TASEP with periodic initial configuration (2007) J. Stat. Phys, 129 (5-6), pp. 1055-1080 | |
dc.description | Chebyshev, P.L., Interpolation of equidistant nodes, and, on continued fractions (1962) Com- plete Works, USSR Academy of Sciences Publishing House, , Moscow-Leningrad, 1948 | |
dc.description | French transl., Oeuvres, Chelsea, New York | |
dc.description | Chihara, T.S., An Introduction to Orthogonal Polynomials (1978), Gordon and Breach, New YorkChihara, L., Stanton, D., Zeros of generalized Krawtchouk polynomials (1990) J. Approx. Theory, 60 (1), pp. 43-57 | |
dc.description | Dahlquist, G., Björck, A., Numerical Methods (1974), Prentice Hall, Englewood CliffsDimitrov, D.K., On a conjecture concerning monotonicity of zeros of ultraspherical polyno- mials (1996) J. Approx. Theory, 85, pp. 88-97 | |
dc.description | Dimitrov, D.K., Nikolov, G.P., Sharp bounds for the extreme zeros of classical orthogonal polynomials (2010) J. Approx. Theory, 162, pp. 1793-1804 | |
dc.description | Dimitrov, D.K., Rafaeli, F.R., Monotonicity of zeros of Jacobi polynomials (2007) J. Approx. Theory, 149, pp. 15-29 | |
dc.description | Dimitrov, D.K., Rafaeli, F.R., Monotonicity of zeros of Laguerre polynomials (2009) J. Comput. Appl. Math., 233, pp. 699-702 | |
dc.description | Elbert, Á., Some recent results on the zeros of Bessel functions and orthogonal polynomials (2001) J. Comput. Appl. Math., 133, pp. 65-83 | |
dc.description | Gelb, A., Platte, R.B., Rosenthal, W.S., The discrete orthogonal polynomial least squares method for approximation and solving partial differential equations (2008) Commun. Comput. Phys., 3, pp. 734-758 | |
dc.description | Horn, R.A., Johnson, C.R., Matrix Analysis (1985), Cambridge Univ. Press, CambridgeIsmail, M.E., Classical and Quantum Orthogonal Polynomials in One Variable (2005), Cambridge University PressIsmail, M.E., Muldoon, M.E., A discrete approach to monotonicity of zeros of orthogonal polynomials (1991) Trans. Amer. Math. Soc., 323, pp. 65-78 | |
dc.description | Ismail, M.E., Li, X., Bound on the extreme zeros of orthogonal polynomials (1992) Proc. Amer. Math. Soc, 115, pp. 131-140 | |
dc.description | Johansson, K., Discrete orthogonal polynomial ensembles and the Plancherel measure (2001) Ann. of Math. (2), 153, pp. 259-296 | |
dc.description | Karlin, S., McGregor, J., Many server queueing processes with Poisson input and expo- nential service times (1958) Pacific J. Math., 8, pp. 87-118 | |
dc.description | Jordaan, K., Toókos, F., Interlacing theorems for the zeros of some orthogonal polynomials from different sequences (2009) Appl. Num. Math., 59, pp. 2015-2022 | |
dc.description | Koekoek, R., Swarttouw, R.F., The Askey-scheme of hypergeometric orthogonal polyno- mials and its q-analogue, Delft University of Technology, Faculty of Technical Mathematics and Informatics (1998) Report no, pp. 17-98. , On-line version | |
dc.description | Krasikov, I., Bounds for zeros of the Charlier polynomials (2002) Methods Appl. Anal, 9 (4), pp. 599-610 | |
dc.description | Krasikov, I., On extreme zeros of classical orthogonal polynomials (2006) J. Comput. Appl. Math., 193, pp. 168-182 | |
dc.description | Krasikov, I., Zarkh, A., On zeros of discrete orthogonal polynomials (2009) J. Approx. Theory, 156, pp. 121-141 | |
dc.description | Kristinsson, K., Dumonts, G.A., Cross-directional control on paper machines using Gram polynomials (1996) Automatica, 32 (4), pp. 533-548 | |
dc.description | Kuijlaars, A.B.J., Rakhmanov, E.A., Zero distributions for discrete orthogonal polynomials (1998) J. Comput. Applied Math., 99, pp. 255-274 | |
dc.description | Markov, A., Sur les racines de certaines équations (second note) (1886) Math. Ann, 27, pp. 177-182 | |
dc.description | Levit, R.J., The zeros of the Hahn polynomials (1967) SIAM Rev, 9, pp. 191-203 | |
dc.description | Ronveaux, A., Zarzo, A., Area, I., Godoy, E., Classical orthogonal polynomials: dependence of parameters (2000) J. Comput. Appl. Math, 121, pp. 95-112 | |
dc.description | Szego, G., Orthogonal Polynomials (1975), 23. , 4th ed. Amer. Math. Soc. Coll. Publ. Providence RIVan Doorn, E.A., Zeifman, A.I., On the speed of convergence to stationarity of the Erlang loss system (2009) Queueing Systems, 63, pp. 241-252 | |
dc.language | en | |
dc.publisher | | |
dc.relation | Mathematics of Computation | |
dc.rights | fechado | |
dc.source | Scopus | |
dc.title | Zeros Of Classical Orthogonal Polynomials Of A Discrete Variable | |
dc.type | Artículos de revistas | |