Elliptic hypergeometric Laurent biorthogonal polynomials with a dense point spectrum on the unit circle.
Tsujimoto, Satoshi, Zhedanov, Alexei (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Displaying similar documents to “Elliptic biorthogonal polynomials connected with Hermite's continued fraction.”
Elliptic hypergeometric Laurent biorthogonal polynomials with a dense point spectrum on the unit circle.
Nonnegative linearization of orthogonal polynomials
Ryszard Szwarc (1996)
Colloquium Mathematicae
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The Rahman polynomials are bispectral.
Grünbaum, F. Alberto (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Two limit transitions involving multivariable BC type Askey-Wilson polynomials
Jasper Stokman (1997)
Banach Center Publications
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In the first part (without proofs) an orthogonality measure with partly discrete and partly continuous support will be introduced for the five parameter family of multivariable BC type Askey-Wilson polynomials. In the second part, the limit transitions from BC type Askey-Wilson polynomials to BC type big and little q-Jacobi polynomials will be described in detail.
On orthogonality relations for dual discrete -ultraspherical polynomials.
Groza, Valentyna A., Kachuryk, Ivan I. (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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An analytic formula for the Jack polynomials.
Mangazeev, Vladimir V. (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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S-orthogonality on the semicircle
Marija Stanić (2004)
Kragujevac Journal of Mathematics
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Bi-axial Gegenbauer functions of the first and second kind
Alan Common (1996)
Banach Center Publications
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The classical orthogonal polynomials defined on intervals of the real line are related to many important branches of analysis and applied mathematics. Here a method is described to generalise this concept to polynomials defined on higher dimensional spaces using Bi-Axial Monogenic functions. The particular examples considered are Gegenbauer polynomials defined on the interval [-1,1] and the Gegenbauer functions of the second kind which are weighted Cauchy integral transforms over this...
Representations of the quantum algebra and discrete -ultraspherical polynomials.
Groza, Valentyna (2005)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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An alternative definition of the Hermite polynomials related to the Dunkl Laplacian.
De Bie, Hendrik (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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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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