RT Journal Article
T1 (1,1)-Dw-omega-coherent pairs
A1 Marcellán Español, Francisco José
A1 Pinzón Cortés, Natalia Camila
AB In this work, we introduce the notion of (1; 1)-Dw-coherent pair ofweakly quasi-de nite linear functionals (U; V) as the Dw-analogue to thegeneralized coherent pair studied by A. Delgado and F. Marcell an in [8].This means that their corresponding families of monic orthogonal poly-nomials fPn(x)gM0n=0 and fRn(x)gM1n=0 satisfyWe prove that (1; 1)-Dw-coherence is a su cient condition for the weaklyquasi-de nite linear functionals to be Dw-semiclassical, one of them ofclass at most 1 and the another of class at most 5, and they are relatedby a expression of rational type. Additionally, a matrix interpretation of(1; 1)-Dw-coherence in terms of the corresponding monic Jacobi matricesis given. The particular case when μ is Dw-classical linear functional isstudied.
PB Taylor & Francis
SN 1023-6198
YR 2013
FD 2013-11-01
LK http://hdl.handle.net/10016/23276
UL http://hdl.handle.net/10016/23276
LA eng
NO The authors thank the hard work done by the referees. Their suggestions and remarks have contributed to improve the presentation of the manuscript. The work of F. Marcell´an and N. C. Pinzo´n-Cort´es has been supported by Direcci´on General de Investigaci´on Cient´ıfica y T´ecnica, Ministerio de Econom´ıa y Competitividad of Spain, grant MTM2012-36732-C03-01.
DS e-Archivo
RD 30 abr. 2024