On the modification of classical orthogonal polynomials: the symmetric case

Álvarez Nodarse, RenatoMarcellán Español, Francisco2016-05-312016-05-311998-03Álvarez Nodarse, R. y Marcellán Español, F. (1998). On the modification of classical orthogonal polynomials: the symmetric case. Approximation Theory and its Applications, 14 (1), 8-28.1000-92211573-8175http://hdl.handle.net/11441/41706We consider the modifcations of the monic Hermite and Gegenbauer polynomials via the addition of one point mass at the origin. Some properties of the resulting polynomials are studied: three-term recurrence relation, differential equation, ratio asymptotics, hypergeometric representation as well as, for large n, the behaviour of their zeros.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Hermite polynomialsGegenbauer polynomialsdiscrete measureszerossymmetric functionalsOn the modification of classical orthogonal polynomials: the symmetric caseinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess