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http://hdl.handle.net/10016/6261
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| Title: | Second kind functionals for the Laguerre-Hahn affine class on the unit circle |
| Author(s): | Cachafeiro, Alicia
Marcellán, Francisco
Pérez, Carlos |
| Publisher: | The Belgian Mathematic Society |
| Issued date: | 2003 |
| Citation: | Bulletin of the Belgian Mathematical Society - Simon Stevin, 2003, vol. 10, n. 1, p. 125-140 |
| URI: | http://hdl.handle.net/10016/6261 |
| ISSN: | 1370-1444 |
| Description: | 16 pages, no figures.-- MSC1991 codes: 33C47, 42C05.
MR#: MR2032331 (2004j:33013)
Zbl#: Zbl 1036.42024 |
| Abstract: | The aim of this paper is the study of some transformations in the Laguerre-Hahn affine class that do not preserve the class. Under very general conditions, we establish that the second kind functional associated with a Laguerre-Hahn affine functional does not belong to the Laguerre-Hahn affine class. The transformations related to the associated polynomials and quadratic decomposition of a sequence of orthogonal polynomials are also considered. |
| Sponsor: | The research of first (A.C.) and third (C.P.) authors was supported by Dirección General de Investigación (Ministerio de Ciencia y Tecnología) of Spain under grant number BFM2000-0015 and by Universidad de Vigo and Xunta de Galicia. The research of second author (F.M.) was supported by Dirección General de Investigación (Ministerio de Ciencia y Tecnología) of Spain under grant BFM2000-0206-C04-01 and INTAS project INTAS2000-272. |
| Review: | PeerReviewed |
| Publisher version: | http://projecteuclid.org/euclid.bbms/1047309419 |
| Keywords: | Orthogonal polynomials
Laguerre-Hahn affine linear functionals
Second degree functionals
Second kind functionals |
| Rights: | © The Belgian Mathematic Society |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
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