### Recurrence relations for orthogonal polynomials on algebraic curves

Marcellán, F., Alfaro, M. (1983-1984)

Portugaliae mathematica

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Marcellán, F., Alfaro, M. (1983-1984)

Portugaliae mathematica

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Claude Brezinski (1992)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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D. Mangeron, A. M. Krall, D. L. Fernández (1983)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

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Francisco Marcellán, Franciszek Szafraniec (1996)

Studia Mathematica

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Let S be a degree preserving linear operator of ℝ[X] into itself. The question is if, preserving orthogonality of some orthogonal polynomial sequences, S must necessarily be an operator of composition with some affine function of ℝ. In [2] this problem was considered for S mapping sequences of Laguerre polynomials onto sequences of orthogonal polynomials. Here we improve substantially the theorems of [2] as well as disprove the conjecture proposed there. We also consider the same questions...

McCarthy, Paul J. (1961)

Portugaliae mathematica

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D. Mangeron, A. M. Krall, D. L. Fernández (1983)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

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Mrinal Kanti Das (1975)

Publications de l'Institut Mathématique

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