[unknown]
D. Mangeron, A. M. Krall, D. L. Fernández (1983)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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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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D. Mangeron, A. M. Krall, D. L. Fernández (1983)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Thakare, N.K., Madhekar, M.C. (1988)
International Journal of Mathematics and Mathematical Sciences
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Milovanović, Gradimir V. (1998)
Publications de l'Institut Mathématique. Nouvelle Série
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McCarthy, Paul J. (1961)
Portugaliae mathematica
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Jesús Sánchez Dehesa (1979)
Revista Matemática Hispanoamericana
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It is found that the asymptotical density of zeros of a system of orthogonal polynomials whose weight function belongs to a wide class of distribution functions has the expression ρ(x) = π (1 - x). This result is shown in two completely different ways: (1) from a Szegö theorem and (2) from a Geronimus theorem and a finding recently obtained by the author in a context of Jacobi matrices.
Douak, Khalfa (1999)
International Journal of Mathematics and Mathematical Sciences
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Mrinal Kanti Das (1975)
Publications de l'Institut Mathématique
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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.
Brackx, Fred, De Schepper, Nele, Sommen, Frank (2004)
International Journal of Mathematics and Mathematical Sciences
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Bustoz, Joaquin, Ismail, Mourad E.H. (1997)
International Journal of Mathematics and Mathematical Sciences
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