A family of singular semi-classical functionals

Indagationes Mathematicae

Volumn 13, Issue 3, 2002, Pages 351-362

  Medem, J C ^a  

^a UNIVERSITY OF SEVILLE   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036980564     PISSN: 00193577     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0019-3577(02)80015-5     Document Type: Review

References (9)

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2. Belmehdi, S. - On semi-classical linear functionals of class s = 1. Classification and integral representations. Indag. Mathem. N.S. 3(3) 253-275 (1992).
3. Chihara, T.S. - An Introduction to Orthogonal Polynomials. Gordon and Breach. New York (1978).
4. Marcellán, F., Branquinho, A. en Petronilho J. - Classical orthogonal polynomials: A functional approach. Acta Applicandae Mathematicae 34 283-303 (1994).
5. Maroni, P. - 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).
6. Maroni, P. - Variations around classical orthogonal polynomials. Connected problems. J. Comp. and Appl. Math. 48, 133-155 (1993).
7. Medem, J.C. - Polinomios ortogonales q-semiclásicos. Doctoral Dissertation (in Spanish). Universidad Politécnica de Madrid. Madrid (1996).
8. Medem, J.C. - The quasi-orthogonality of the derivatives of semi-classical polynomials. To appear in Indag. Math..
9. Shohat, J.A. - A differential equation for orthogonal polynomials. Duke Math. J. 5, 401-417 (1939).