A note on density of the zeros of sigma-orthogonal polynomials
Gradimir V. Milovanović, Miodrag M. Spalević (2001)
Kragujevac Journal of Mathematics
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Displaying similar documents to “On a Szegö's theorem of orthogonal polynomials.”
A note on density of the zeros of sigma-orthogonal polynomials
Orthogonal polynomials on the radial rays and an electrostatic interpretation of zeros.
Milovanović, Gradimir V. (1998)
Publications de l'Institut Mathématique. Nouvelle Série
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On the complex zeros of some families of orthogonal polynomials.
Petropoulou, Eugenia N. (2010)
Abstract and Applied Analysis
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Compact Jacobi matrices : from Stieltjes to Krein and
Walter Van Assche (1996)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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On the zeros of generalized Jacobi's orthogonal polynomials
František Púchovský (1973)
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[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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Classical and generalized Jacobi polynomials orthogonal with different weight functions and differential equations satisfied by these polynomials
Marčoková, Mariana, Guldan, Vladimír
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In this contribution we deal with classical Jacobi polynomials orthogonal with respect to different weight functions, their special cases - classical Legendre polynomials and generalized brothers of them. We derive expressions of generalized Legendre polynomials and generalized ultraspherical polynomials by means of classical Jacobi polynomials.
Zeros' asymptotic distribution of polynomials orthogonal with respect to varying weights.
He, M.X., Natalini, P., Ricci, P.E. (1997)
Memoirs on Differential Equations and Mathematical Physics
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On block recursions, Askey's sieved Jacobi polynomials and two related systems
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.