EUDML | Solvable rational potentials and exceptional orthogonal polynomials in supersymmetric quantum mechanics.

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Displaying similar documents to “Solvable rational potentials and exceptional orthogonal polynomials in supersymmetric quantum mechanics.”

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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An analytic formula for the $A_{2}$ Jack polynomials.

Mangazeev, Vladimir V. (2007)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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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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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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S-orthogonality on the semicircle

Marija Stanić (2004)

Kragujevac Journal of Mathematics

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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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Point canonical transformation versus deformed shape invariance for position-dependent mass Schrödinger equations.

Quesne, Christiane (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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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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A survey on D-semiclassical orthogonal polynomials.

Ghressi, Abdallah, Kheriji, Lotfi (2010)

Applied Mathematics E-Notes [electronic only]

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Factorization method and Gegenbauer polynomials in tense brane black hole.

Sadeghi, Jafar (2009)

APPS. Applied Sciences

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The relationship between Zhedanov's algebra $A W (3)$ 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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