RT Journal Article
T1 Characterization of the Dᵂ-Laguerre-Hahn functionals
A1 Foupouagnigni, M.
A1 Marcellán Español, Francisco José
AB We give some characterization theorems for the DᵂLaguerre-Hahn linear functionals and we extend the concept of the class of the usual Laguerre-Hahn functionals to the Dᵂ-Laguerre-Hahn functionals, recovering the classic results when ᵂ tends to zero. Moreover, we show that some transformations carried out on the Dᵂ-Laguerre-Hahn linear functionals lead to new Dᵂ-Laguerre-Hahn linear functionals. Finally, we analyze the class of the resulting functionals and we give some applications relative to the first associated Charlier, Meixner, Krawtchouk and Hahn orthogonal polynomials.
PB Taylor & Francis
SN 1023-6198
YR 2002
FD 2002
LK https://hdl.handle.net/10016/6005
UL https://hdl.handle.net/10016/6005
LA eng
NO 29 pages, no figures.-- MSC2000 codes: 33C45, 39A10.
NO MR#: MR1914598 (2003e:33021)
NO Zbl#: Zbl 1021.33007
NO The work of the second author (FM) was supported by Ministerio de Ciencia y Tecnología (Dirección General de Investigación) of Spain under grant BFM 2000-0206-C04-01 and the INTAS project INTAS 2000-272.
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RD 1 may. 2024