{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T13:23:46Z","timestamp":1773235426553,"version":"3.50.1"},"reference-count":18,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2011,10,20]],"date-time":"2011-10-20T00:00:00Z","timestamp":1319068800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Numer Algor"],"published-print":{"date-parts":[[2012,5]]},"DOI":"10.1007\/s11075-011-9511-4","type":"journal-article","created":{"date-parts":[[2011,10,19]],"date-time":"2011-10-19T10:06:24Z","timestamp":1319018784000},"page":"51-73","source":"Crossref","is-referenced-by-count":13,"title":["Asymptotic properties of Laguerre\u2013Sobolev type orthogonal polynomials"],"prefix":"10.1007","volume":"60","author":[{"given":"Herbert","family":"Due\u00f1as","sequence":"first","affiliation":[]},{"given":"Edmundo J.","family":"Huertas","sequence":"additional","affiliation":[]},{"given":"Francisco","family":"Marcell\u00e1n","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2011,10,20]]},"reference":[{"key":"9511_CR1","volume-title":"Special Functions, Encyclopedia of Mathematics and its Applications, vol. 71","author":"GE Andrews","year":"1999","unstructured":"Andrews, G.E., Askey, R., Roy, R.: Special Functions, Encyclopedia of Mathematics and its Applications, vol. 71. Cambridge University Press, Cambridge (1999)"},{"key":"9511_CR2","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1016\/S0377-0427(01)00499-X","volume":"143","author":"CF Bracciali","year":"2002","unstructured":"Bracciali, C.F., Dimitrov, D.K., Sri Ranga, A.: Chain sequences and symetric generalized orthogonal polynomials. J. Comput. Appl. Math. 143, 95\u2013106 (2002)","journal-title":"J. Comput. Appl. Math."},{"key":"9511_CR3","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1016\/j.apnum.2003.10.001","volume":"48","author":"C Brezinski","year":"2004","unstructured":"Brezinski, C., Driver, K.A., Redivo-Zaglia, M.: Quasi-orthogonality with applications to some families of classical orthogonal polynomials. Appl. Numer. Math. 48, 157\u2013168 (2004)","journal-title":"Appl. Numer. Math."},{"key":"9511_CR4","volume-title":"An Introduction to Orthogonal Polynomials","author":"TS Chihara","year":"1978","unstructured":"Chihara, T.S.: An Introduction to Orthogonal Polynomials. Gordon and Breach, New York (1978)"},{"key":"9511_CR5","doi-asserted-by":"crossref","first-page":"80","DOI":"10.1016\/j.jmaa.2010.02.038","volume":"368","author":"DK Dimitrov","year":"2010","unstructured":"Dimitrov, D.K., Marcell\u00e1n, F., Rafaeli, F.R.: Monotonicity of zeros of Laguerre\u2013Sobolev-type orthogonal polynomials. J. Math. Anal. Appl. 368, 80\u201389 (2010)","journal-title":"J. Math. Anal. Appl."},{"key":"9511_CR6","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1016\/j.apnum.2009.12.004","volume":"60","author":"DK Dimitrov","year":"2010","unstructured":"Dimitrov, D.K., Mello, M.V., Rafaeli, F.R.: Monotonicity of zeros of Jacobi\u2013Sobolev-type orthogonal polynomials. Appl. Numer. Math. 60, 263\u2013276 (2010)","journal-title":"Appl. Numer. Math."},{"key":"9511_CR7","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1080\/10652469.2010.499737","volume":"22","author":"H Due\u00f1as","year":"2010","unstructured":"Due\u00f1as, H., Huertas, E.J., Marcell\u00e1n, F.: Analytic properties of Laguerre-type orthogonal polynomials. Integral Transforms Spec. Funct. 22, 107\u2013122 (2010)","journal-title":"Integral Transforms Spec. Funct."},{"key":"9511_CR8","doi-asserted-by":"crossref","first-page":"421","DOI":"10.1016\/j.jat.2009.07.006","volume":"162","author":"H Due\u00f1as","year":"2010","unstructured":"Due\u00f1as, H., Marcell\u00e1n, F.: The Laguerre-Sobolev-type orthogonal polynomials. J. Approx. Theory 162, 421\u2013440 (2010)","journal-title":"J. Approx. Theory"},{"key":"9511_CR9","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1216\/RMJ-2011-41-1-95","volume":"41","author":"H Due\u00f1as","year":"2011","unstructured":"Due\u00f1as, H., Marcell\u00e1n, F.: The Laguerre\u2013Sobolev-type orthogonal polynomials. Holonomic equation and electrostatic interpretation. Rocky Mount. J. Math. 41, 95\u2013131 (2011)","journal-title":"Rocky Mount. J. Math."},{"key":"9511_CR10","doi-asserted-by":"crossref","first-page":"569","DOI":"10.1080\/10652460903442032","volume":"17","author":"BXh Fejzullahu","year":"2010","unstructured":"Fejzullahu, B.Xh., Zejnullahu, R.Xh.: Orthogonal polynomials with respect to the Laguerre measure perturbed by the canonical transformations. Integral Transforms Spec. Funct. 17, 569\u2013580 (2010)","journal-title":"Integral Transforms Spec. Funct."},{"key":"9511_CR11","unstructured":"Huertas, E.J., Marcell\u00e1n, F., Rafaeli, F.R.: Zeros of orthogonal polynomials generated by canonical perturbations of measures (submitted)"},{"key":"9511_CR12","volume-title":"Special Functions and their Applications","author":"NN Lebedev","year":"1972","unstructured":"Lebedev, N.N.: Special Functions and their Applications. Dover Publications, New York (1972)"},{"key":"9511_CR13","doi-asserted-by":"crossref","first-page":"283","DOI":"10.1007\/BF00998681","volume":"34","author":"F Marcell\u00e1n","year":"1994","unstructured":"Marcell\u00e1n, F., Branquinho, A., Petronilho, J.C.: Classical orthogonal polynomials: a functional approach. Acta Appl. Math. 34, 283\u2013303 (1994)","journal-title":"Acta Appl. Math."},{"issue":"2","key":"9511_CR14","first-page":"455","volume":"12","author":"F Marcell\u00e1n","year":"1992","unstructured":"Marcell\u00e1n, F., P\u00e9rez, T.E., Pi\u00f1ar, M.A.: On zeros of Sobolev-type orthogonal polynomials. Rend. Mat. Appl. (7) 12(2), 455\u2013473 (1992)","journal-title":"Rend. Mat. Appl. (7)"},{"key":"9511_CR15","doi-asserted-by":"crossref","first-page":"451","DOI":"10.1016\/0019-3577(90)90013-D","volume":"1","author":"F Marcell\u00e1n","year":"1990","unstructured":"Marcell\u00e1n, F., Ronveaux, A.: On a class of polynomials orthogonal with respect to a discrete Sobolev inner product. Indag. Math. N.\u00a0S. 1, 451\u2013464 (1990)","journal-title":"Indag. Math. N.\u00a0S."},{"key":"9511_CR16","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-1595-8","volume-title":"Special Functions of Mathematical Physics: An Unified Approach","author":"AF Nikiforov","year":"1988","unstructured":"Nikiforov, A.F., Uvarov, V.B.: Special Functions of Mathematical Physics: An Unified Approach. Birkhauser, Basel (1988)"},{"key":"9511_CR17","doi-asserted-by":"crossref","first-page":"3929","DOI":"10.1090\/S0002-9939-2011-10806-2","volume":"139","author":"FR Rafaeli","year":"2011","unstructured":"Rafaeli, F.R., Marcell\u00e1n, F.: Monotonicity and asymptotics of zeros of Laguerre\u2013Sobolev-type orthogonal polynomials of higher derivatives. Proc. Amer. Math. Soc. 139, 3929\u20133936 (2011)","journal-title":"Proc. Amer. Math. Soc."},{"key":"9511_CR18","unstructured":"Szeg\u0151, G.: Orthogonal polynomials, vol. 23, 4th edn. Amer. Math. Soc. Colloq. Publ. Series, Amer. Math. Soc., Providence, RI (1975)"}],"container-title":["Numerical Algorithms"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-011-9511-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11075-011-9511-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-011-9511-4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,1]],"date-time":"2019-06-01T05:08:17Z","timestamp":1559365697000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11075-011-9511-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,10,20]]},"references-count":18,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2012,5]]}},"alternative-id":["9511"],"URL":"https:\/\/doi.org\/10.1007\/s11075-011-9511-4","relation":{},"ISSN":["1017-1398","1572-9265"],"issn-type":[{"value":"1017-1398","type":"print"},{"value":"1572-9265","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,10,20]]}}}