RT Journal Article
T1 On semiclassical orthogonal polynomials: A Generalized Jacobi functional of class 1
A1 Atia, Mohamed Jalel
A1 Marcellán Español, Francisco José
A1 Álvarez Rocha, Ignacio
AB In this paper the integral representation of any solution of the distributional equation S$ D((x -x)u)+((\mu-2\alpha-s-3)x -sx-\mu+1)u=0 $$ is obtained in an alternative and more natural way than the one derived from the method given in [4]. A particular quasi-definite case is studied and some properties for the corresponding sequence of orthogonal polynomials are obtained. Explicit expressions for the moments and for the recurrence coefficients are given using the Laguerre-Freud equations as the basic tool.
PB University of Niš
SN 0352-9665
YR 2002
FD 2002
LK http://hdl.handle.net/10016/6001
UL http://hdl.handle.net/10016/6001
LA eng
NO 22 pages, no figures.-- MSC2000 codes: Primary 33C45, 33C47.
NO MR#: MR2016752 (2005h:33018)
NO Zbl#: Zbl 1081.33009
NO The work of F. Marcellán was supported by a grant of Dirección General de Investigación (Ministerio de Ciencia y Tecnología) of Spain BFM-2000-0206-C04-01 as well as by INTAS project 2000-272.
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