The quasi-orthogonality of the derivatives of semi-classical polynomials

Indagationes Mathematicae

Volumn 13, Issue 3, 2002, Pages 363-387

  Medem, J C ^a  

^a UNIVERSITY OF SEVILLE   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036980532     PISSN: 00193577     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0019-3577(02)80016-7     Document Type: Review

References (10)

1. T.S. Chihara - 'An Introduction to Orthogonal Polynomials'. Gordon and Breach. New York (1978).
2. E. Hendriksen and H. van Rossum - Semi-classical orthogonal polynomials. In 'Polynômes Orthogonaux et Applications' (C. Brezinski et al., eds.). Lecture Notes in Math. 1171, Springer-Verlag. Berlin, 354-361 (1985).
3. S. Karlin and G. Szegö - On certain determinants whose elements are orthogonal polynomials. Journ. Analyse Math. 8, 1-157 (1960).
4. F. Marcellán, A. Branquinho and J. Petronilho - Classical orthogonal polynomials: A functional approach. Acta Applicandae Mathematicae 34, 283-303 (1994).
5. P. Maroni - Prolégomènes à l'étude des polynômes orthogonaux semi-classiques. Ann. Mat. Pura. ed Appl. 4(149), 165-184 (1987).
6. P. Maroni - Une théorie algébrique des polynômes orthogonaux. Applications aux polynômes orthogonaux semiclassiques. In 'Orthogonal Polynomials and Their Applications' (C. Brezinski et al. eds.). IMACS Annals on Computing and Applied Mathematics. vol 9. Baltzer. Basel, 98-130 (1991).
7. P. Maroni - Variations around classical orthogonal polynomials. Connected problems. J. Comp. and Appl. Math. 48, 133-155 (1993).
8. J.C. Medem - Polinomios ortogonales q-semiclásicos. Doctoral Dissertation (in spanish). Universidad Politécnica de Madrid. Madrid (1996).
9. J.C. Medem - A family of singular semi-classical functionals. To appear in Indag. Math.
10. J.A. Shohat - A differential equation for orthogonal polynomials. Duke Math. J. 5, 401-417 (1939).