An asymptotic result for Laguerre-Sobolev orthogonal polynomials

Journal of Computational and Applied Mathematics

Volumn 87, Issue 1, 1997, Pages 87-94

  Marcellán, Francisco ^a   Meijer, Henk G ^b   Pérez, Teresa E ^c   Piñar, Miguel A ^c  

^a UNIVERSIDAD CARLOS III DE MADRID   (Spain)

^b DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^c UNIVERSITY OF GRANADA   (Spain)

Author keywords

Asymptotic properties; Laguerre polynomials; Sobolev orthogonal polynomials

Indexed keywords

ASYMPTOTIC STABILITY; COMPUTATIONAL METHODS; THEOREM PROVING;

LAGUERRE SOBOLEV ORTHOGONAL POLYNOMIALS;

POLYNOMIALS;

EID: 0031342866     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(97)00179-9     Document Type: Article

References (6)

1. J. Brenner, Über eine Erweiterung des Orthogonalitätsbegriffes bei Polynomen, in: G. Alexits, S.B. Stechkin (Eds.), Constructive Theory of Functions, Akadémiai Kiadó, Budapest, 1972, pp. 77-83.
2. A. Iserles, P.E. Koch, S.P. Nørsett, J.M. Sanz-Sema, On polynomials orthogonal with respect to certain Sobolev inner products, J. Approx. Theory 65 (1991) 151-175.
3. F. Marcellán, T.E. Pérez, M.A. Piñar, Laguerre-Sobolev orthogonal polynomials, J. Comput. Appl. Math. 71 (1996) 245-265.
4. A. Martínez-Finkelshtein, J.J. Moreno-Balcázar, T.E. Pérez, M.A. Piñar, Asymptotics of Sobolev orthogonal polynomials for coherent pairs of measures, J. Approx. Theory, to appear.
5. F.W. Schäfke, G. Wolf, Einfache verallgemeinerte klassische Orthogonalpolynome, J. Reine Angew. Math. 262/263 (1973) 339-355.
6. G. Szego, Orthogonal Polynomials, (4th ed.), Amer. Math. Soc. Colloq. Publ. 23, Amer. Math. Soc., Providence, RI, 1975.