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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Displaying similar documents to “Spectra of observables in the -oscillator and -analogue of the Fourier transform.”
Representations of the quantum algebra and discrete -ultraspherical 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.
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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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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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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Solvable rational potentials and exceptional orthogonal polynomials in supersymmetric quantum mechanics.
Quesne, Christiane (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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An explicit formula for symmetric polynomials related to the eigenfunctions of Calogero-Sutherland models.
Hallnäs, Martin (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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The relationship between Zhedanov's algebra and the double affine Hecke algebra in the rank one case.
Koornwinder, Tom H. (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Some orthogonal polynomials in four variables.
Dunkl, Charles F. (2008)
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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A probablistic origin for a new class of bivariate polynomials.
Hoare, Michael R., Rahman, Mizan (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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