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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Displaying similar documents to “Proof of the refined alternating sign matrix conjecture.”
Orthogonal polynomials on the radial rays and an electrostatic interpretation of zeros.
Determinantal expression and recursion for Jack polynomials.
Lapointe, Luc, Lascoux, A., Morse, J. (2000)
The Electronic Journal of Combinatorics [electronic only]
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On generalized Jacobi matrices and orthogonal polynomials.
Zagorodnyuk, Sergey M. (2003)
The New York Journal of Mathematics [electronic only]
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Turán inequalities for symmetric orthogonal polynomials.
Bustoz, Joaquin, Ismail, Mourad E.H. (1997)
International Journal of Mathematics and Mathematical Sciences
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Connections between Romanovski and other polynomials
Hans Weber (2007)
Open Mathematics
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A connection between Romanovski polynomials and those polynomials that solve the one-dimensional Schrödinger equation with the trigonometric Rosen-Morse and hyperbolic Scarf potential is established. The map is constructed by reworking the Rodrigues formula in an elementary and natural way. The generating function is summed in closed form from which recursion relations and addition theorems follow. Relations to some classical polynomials are also given.
A unified approach to various orthogonalities
Claude Brezinski (1992)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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A class of orthogonal polynomials of a new type.
Dutta, M., Manocha, Kanchan Prabha (1983)
International Journal of Mathematics and Mathematical Sciences
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On Polynomials Associated With Humbert's Polynomials
M.A. Pathan, M.A. Khan (1997)
Publications de l'Institut Mathématique
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Characterizations of classical polynomials
McCarthy, Paul J. (1961)
Portugaliae mathematica
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Some properties of a class of polynomials.
Djordjević, Gospava B. (1997)
Matematichki Vesnik
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On 2-orthogonal polynomials of Laguerre type.
Douak, Khalfa (1999)
International Journal of Mathematics and Mathematical Sciences
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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.