Inner products involving differences: The Meixner-Sobolev polynomials

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Show simple item record Area, Iván Godoy, Eduardo Marcellán Español, Francisco José 2009-12-17T16:00:07Z 2009-12-17T16:00:07Z 2000-01
dc.identifier.bibliographicCitation Journal of Difference Equations and Applications, 2000, vol. 6, n. 1, p. 1-31
dc.identifier.issn 1023-6198
dc.description 31 pages, no figures.-- MSC2000 codes: 33C45, 33D45, 39A10, 39A70, 42C05.
dc.description MR#: MR1752153 (2000m:33006)
dc.description Zbl#: Zbl 0948.33004
dc.description.abstract In this paper, polynomials which are orthogonal with respect to the inner product $$\langle p,q\rangle_S= \sum infty_{s=0} p(s)q(s) {\mu \Gamma (\gamma+s) \over\Gamma(s+1) \Gamma (\gamma)}+ \lambda \sum infty_{s=0} \Delta p(s)\Delta q(s){\mu \Gamma(\gamma+s) \over\Gamma (s+1)\Gamma (\gamma)},$$ where $0<\mu<1$, $\gamma>0$, $\lambda\ge 0$ are studied. For these polynomials, algebraic properties and difference equations are obtained as well as their relation with the Meixner polynomials. Moreover, some properties about the zeros of these polynomials are deduced.
dc.description.sponsorship The work of I.A. and E.G. has been partially supported by Xunta de Galicia-Universidade de Vigo under grant 64502I703. E.G. also wishes to acknowledge partial support by Dirección General de Enseñanza Superior (DGES) of Spain under grant PB-95-0828. The research of F.M. was partially supported by DGES of Spain under Grant PB96-1020-C03-01 and INTAS Project 93-0219 Ext.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.publisher Taylor & Francis
dc.rights © Taylor & Francis
dc.subject.other Meixner polynomials
dc.subject.other Sobolev orthogonal polynomials
dc.subject.other Difference operators
dc.subject.other Pollaczek polynomials
dc.subject.other Zeros of orthogonal polynomials
dc.subject.other Polynomial approximation
dc.title Inner products involving differences: The Meixner-Sobolev polynomials
dc.type article PeerReviewed
dc.description.status Publicado
dc.subject.eciencia Matemáticas
dc.identifier.doi 10.1080/10236190008808211
dc.rights.accessRights openAccess
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