Nonnegative linearization of orthogonal polynomials
Ryszard Szwarc (1996)
Colloquium Mathematicae
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Displaying similar documents to “The Rahman polynomials are bispectral.”
Nonnegative linearization of orthogonal polynomials
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.
A probablistic origin for a new class of bivariate polynomials.
Hoare, Michael R., Rahman, Mizan (2008)
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Elliptic hypergeometric Laurent biorthogonal polynomials with a dense point spectrum on the unit circle.
Tsujimoto, Satoshi, Zhedanov, Alexei (2009)
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S-orthogonality on the semicircle
Marija Stanić (2004)
Kragujevac Journal of Mathematics
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On a family of 2-variable orthogonal Krawtchouk polynomials.
Grünbaum, F.Alberto, Rahman, Mizan (2010)
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)
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Elliptic biorthogonal polynomials connected with Hermite's continued fraction.
Vinet, Luc, Zhedanov, Alexei (2007)
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Symbolic computation of Appell polynomials using Maple.
Alkahby, H., Ansong, G., Frempong-Mireku, P., Jalbout, A. (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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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...
When is the algebra of multisymmetric polynomials generated by the elementary multisymmetric polynomials?
Briand, Emmanuel (2004)
Beiträge zur Algebra und Geometrie
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