Article
On the modification of classical orthogonal polynomials: the symmetric case
Author/s | Álvarez Nodarse, Renato
Marcellán Español, Francisco |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 1998-03 |
Deposit Date | 2016-05-31 |
Published in |
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Abstract | We 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, ... We 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. |
Funding agencies | Dirección General de Investigación Científica y Técnica (DGICYT). España |
Project ID. | PB 93-0228-C02-01 |
Citation | Álvarez 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. |
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