{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,8]],"date-time":"2024-09-08T11:57:31Z","timestamp":1725796651098},"publisher-location":"Cham","reference-count":24,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319091433"},{"type":"electronic","value":"9783319091440"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2014]]},"DOI":"10.1007\/978-3-319-09144-0_4","type":"book-chapter","created":{"date-parts":[[2014,7,3]],"date-time":"2014-07-03T02:47:10Z","timestamp":1404355630000},"page":"44-59","source":"Crossref","is-referenced-by-count":1,"title":["Zeros of Orthogonal Polynomials Generated by the Geronimus Perturbation of Measures"],"prefix":"10.1007","author":[{"given":"Am\u00edlcar","family":"Branquinho","sequence":"first","affiliation":[]},{"given":"Edmundo J.","family":"Huertas","sequence":"additional","affiliation":[]},{"given":"Fernando R.","family":"Rafaeli","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"issue":"2","key":"4_CR1","doi-asserted-by":"publisher","first-page":"197","DOI":"10.1080\/10236190802019491","volume":"15","author":"D. Barrios","year":"2009","unstructured":"Barrios, D., Branquinho, A.: Complex high order Toda and Volterra lattices. J. Difference Equ. Appl.\u00a015(2), 197\u2013213 (2009)","journal-title":"J. Difference Equ. Appl."},{"key":"4_CR2","doi-asserted-by":"publisher","first-page":"95","DOI":"10.1016\/S0377-0427(01)00499-X","volume":"143","author":"C.F. Bracciali","year":"2002","unstructured":"Bracciali, C.F., Dimitrov, D.K., Sri Ranga, A.: Chain sequences and symmetric generalized orthogonal polynomials. J. Comput. Appl. Math.\u00a0143, 95\u2013106 (2002)","journal-title":"J. Comput. Appl. Math."},{"issue":"4","key":"4_CR3","doi-asserted-by":"publisher","first-page":"643","DOI":"10.1155\/S0161171296000919","volume":"19","author":"A. Branquinho","year":"1996","unstructured":"Branquinho, A., Marcell\u00e1n, F.: Generating new classes of orthogonal polynomials. Int. J. Math. Math. Sci.\u00a019(4), 643\u2013656 (1996)","journal-title":"Int. J. Math. Math. Sci."},{"key":"4_CR4","doi-asserted-by":"publisher","first-page":"101","DOI":"10.1007\/s11075-009-9325-9","volume":"54","author":"M.I. Bueno","year":"2010","unstructured":"Bueno, M.I., Dea\u00f1o, A., Tavernetti, E.: A new algorithm for computing the Geronimus transformation with large shifts. Numer. Alg.\u00a054, 101\u2013139 (2010)","journal-title":"Numer. Alg."},{"key":"4_CR5","doi-asserted-by":"publisher","first-page":"215","DOI":"10.1016\/j.laa.2004.02.004","volume":"384","author":"M.I. Bueno","year":"2004","unstructured":"Bueno, M.I., Marcell\u00e1n, F.: Darboux tranformations and perturbation of linear functionals. Linear Algebra Appl.\u00a0384, 215\u2013242 (2004)","journal-title":"Linear Algebra Appl."},{"key":"4_CR6","series-title":"Mathematics and its Applications Series","volume-title":"An Introduction to Orthogonal Polynomials","author":"T.S. Chihara","year":"1978","unstructured":"Chihara, T.S.: An Introduction to Orthogonal Polynomials. Mathematics and its Applications Series. Gordon and Breach, New York (1978)"},{"key":"4_CR7","doi-asserted-by":"crossref","unstructured":"Derevyagin, M., Marcell\u00e1n, F.: A note on the Geronimus transformation and Sobolev orthogonal polynomials. Numer. Algorithms, 1\u201317 (2013), doi: 10.1007\/s11075-013-9788-6","DOI":"10.1007\/s11075-013-9788-6"},{"key":"4_CR8","doi-asserted-by":"publisher","first-page":"263","DOI":"10.1016\/j.apnum.2009.12.004","volume":"60","author":"D.K. Dimitrov","year":"2010","unstructured":"Dimitrov, D.K., Mello, M.V., Rafaeli, F.R.: Monotonicity of zeros of Jacobi-Sobolev type orthogonal polynomials. Appl. Numer. Math.\u00a060, 263\u2013276 (2010)","journal-title":"Appl. Numer. Math."},{"key":"4_CR9","doi-asserted-by":"crossref","first-page":"175","DOI":"10.4064\/ap-52-2-175-185","volume":"52","author":"J. Dini","year":"1990","unstructured":"Dini, J., Maroni, P.: La multiplication d\u2019une forme lin\u00e9aire par une forme rationnelle. Application aux polyn\u00f4mes de Laguerre-Hahn. Ann. Polon. Math.\u00a052, 175\u2013185 (1990)","journal-title":"Application aux polyn\u00f4mes de Laguerre-Hahn. Ann. Polon. Math."},{"key":"4_CR10","series-title":"Numerical Mathematics and Scientific Computation Series","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198506720.001.0001","volume-title":"Orthogonal Polynomials: Computation and Approximation","author":"W. Gautschi","year":"2004","unstructured":"Gautschi, W.: Orthogonal Polynomials: Computation and Approximation. Numerical Mathematics and Scientific Computation Series. Oxford University Press, New York (2004)"},{"key":"4_CR11","unstructured":"Geronimus, Y.L.: On the polynomials orthogonal with respect to a given number sequence and a theorem. In: Hahn, W., Nauk, I.A. (eds.), vol.\u00a04, pp. 215\u2013228 (1940) (in Russian)"},{"key":"4_CR12","unstructured":"Geronimus, Y.L.: On the polynomials orthogonal with respect to a given number sequence. Zap. Mat. Otdel. Khar\u2019kov. Univers. i NII Mat. i Mehan.\u00a017, 3\u201318 (1940) (in Russian)"},{"issue":"13","key":"4_CR13","doi-asserted-by":"publisher","first-page":"7109","DOI":"10.1016\/j.amc.2011.12.073","volume":"218","author":"E.J. Huertas","year":"2012","unstructured":"Huertas, E.J., Marcell\u00e1n, F., Rafaeli, F.R.: Zeros of orthogonal polynomials generated by canonical perturbations of measures. Appl. Math. Comput.\u00a0218(13), 7109\u20137127 (2012)","journal-title":"Appl. Math. Comput."},{"key":"4_CR14","doi-asserted-by":"publisher","first-page":"191","DOI":"10.1080\/01630560008816948","volume":"21","author":"M.E.H. Ismail","year":"2000","unstructured":"Ismail, M.E.H.: More on electrostatic models for zeros of orthogonal polynomials. Numer. Funct. Anal. Optimiz.\u00a021, 191\u2013204 (2000)","journal-title":"Numer. Funct. Anal. Optimiz."},{"key":"4_CR15","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781107325982","volume-title":"Classical and Quantum Orthogonal Polynomials in One Variable. Encyclopedia of Mathematics and its Applications","author":"M.E.H. Ismail","year":"2005","unstructured":"Ismail, M.E.H.: Classical and Quantum Orthogonal Polynomials in One Variable. Encyclopedia of Mathematics and its Applications, vol.\u00a098. Cambridge University Press, Cambridge (2005)"},{"issue":"3","key":"4_CR16","doi-asserted-by":"publisher","first-page":"223","DOI":"10.1007\/BF02651091","volume":"21","author":"P. Maroni","year":"1990","unstructured":"Maroni, P.: Sur la suite de polyn\u00f4mes orthogonaux associ\u00e9e \u00e0 la forme u\u2009=\u2009\u03b4 c \u2009+\u2009\u03bb(x\u2009\u2212\u2009c)\u2212\u20091 L. Period. Math. Hungar.\u00a021(3), 223\u2013248 (1990)","journal-title":"Period. Math. Hungar."},{"key":"4_CR17","unstructured":"Maroni, P.: Une th\u00e9orie alg\u00e9brique des polyn\u00f4mes orthogonaux. Application aux polyn\u00f4mes orthogonaux semi-classiques. In: Brezinski, C., et al. (eds.) Orth. Pol. and Their Applications. Annals. Comput. Appl. Math., vol.\u00a09, pp. 95\u2013130 (1991)"},{"issue":"3","key":"4_CR18","doi-asserted-by":"publisher","first-page":"461","DOI":"10.1090\/S0002-9947-1937-1501930-6","volume":"42","author":"J. Shohat","year":"1937","unstructured":"Shohat, J.: On mechanical quadratures, in particular, with positive coefficients. Trans. Amer. Math. Soc.\u00a042(3), 461\u2013496 (1937)","journal-title":"Trans. Amer. Math. Soc."},{"issue":"4","key":"4_CR19","doi-asserted-by":"crossref","first-page":"369","DOI":"10.4310\/MAA.1995.v2.n4.a1","volume":"2","author":"V. Spiridonov","year":"1995","unstructured":"Spiridonov, V., Zhedanov, A.: Discrete Darboux transformations, the discrete-time Toda lattice, and the Askey-Wilson polynomials. Methods Appl. Anal.\u00a02(4), 369\u2013398 (1995)","journal-title":"Methods Appl. Anal."},{"key":"4_CR20","doi-asserted-by":"publisher","first-page":"8727","DOI":"10.1088\/0305-4470\/30\/24\/031","volume":"30","author":"V. Spiridonov","year":"1997","unstructured":"Spiridonov, V., Zhedanov, A.: Discrete-time Volterra chain and classical orthogonal polynomials. J. Phys. A: Math. Gen.\u00a030, 8727\u20138737 (1997)","journal-title":"J. Phys. A: Math. Gen."},{"key":"4_CR21","unstructured":"Szeg\u0151, G.: Orthogonal Polynomials, 4th edn., vol.\u00a023. Amer. Math. Soc. Coll. Publ., Providence RI, (1975)"},{"issue":"6","key":"4_CR22","doi-asserted-by":"publisher","first-page":"25","DOI":"10.1016\/0041-5553(69)90124-4","volume":"9","author":"V.B. Uvarov","year":"1969","unstructured":"Uvarov, V.B.: The connection between systems of polynomials orthogonal with respect to different distribution functions. USSR Compt. Math. Phys.\u00a09(6), 25\u201336 (1969)","journal-title":"USSR Compt. Math. Phys."},{"key":"4_CR23","doi-asserted-by":"publisher","first-page":"67","DOI":"10.1016\/S0377-0427(97)00130-1","volume":"85","author":"A. Zhedanov","year":"1997","unstructured":"Zhedanov, A.: Rational spectral transformations and orthogonal polynomials. J. Comput. Appl. Math.\u00a085, 67\u201383 (1997)","journal-title":"J. Comput. Appl. Math."},{"key":"4_CR24","doi-asserted-by":"publisher","first-page":"359","DOI":"10.4134\/BKMS.2002.39.3.359","volume":"39","author":"G.J. Yoon","year":"2002","unstructured":"Yoon, G.J.: Darboux transforms and orthogonal polynomials. Bull. Korean Math. Soc.\u00a039, 359\u2013376 (2002)","journal-title":"Bull. Korean Math. Soc."}],"container-title":["Lecture Notes in Computer Science","Computational Science and Its Applications \u2013 ICCSA 2014"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-09144-0_4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,4,10]],"date-time":"2022-04-10T10:53:16Z","timestamp":1649587996000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-09144-0_4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"ISBN":["9783319091433","9783319091440"],"references-count":24,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-09144-0_4","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2014]]}}}