A characterization of the Laguerre polynomials
N. Abdul-Halim, W. A. Al-Salam (1964)
Rendiconti del Seminario Matematico della Università di Padova
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N. Abdul-Halim, W. A. Al-Salam (1964)
Rendiconti del Seminario Matematico della Università di Padova
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Bruno Gabutti, Giovanna Pittaluga, Laura Sacripante (1995)
Rendiconti del Seminario Matematico della Università di Padova
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Al-Salam, W.A., Chihara, T.S. (1979)
Portugaliae mathematica
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Henry, M.S., Huffstutler, R.G., Stein, F. Max (1967)
Portugaliae mathematica
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Protter, M.H. (1951)
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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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...
Bernarda Aldana, Jairo Charris, Oriol Mora-Valbuena (1998)
Colloquium Mathematicae
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Two systems of sieved Jacobi polynomials introduced by R. Askey are considered. Their orthogonality measures are determined via the theory of blocks of recurrence relations, circumventing any resort to properties of the Askey-Wilson polynomials. The connection with polynomial mappings is examined. Some naturally related systems are also dealt with and a simple procedure to compute their orthogonality measures is devised which seems to be applicable in many other instances.
Carlitz, L. (1961)
Portugaliae mathematica
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Marcellán Espanol, Francisco, Tasis Montes, Carmen (1993)
Portugaliae mathematica
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