Two-variable -1 Jacobi polynomials

DOI10.1080/10652469.2015.1013034zbMath1317.33011arXiv1411.7299OpenAlexW2962864412MaRDI QIDQ5246278

Luc Vinet, Jean-Michel Lemay, Alexei Zhedanov, Vincent X. Genest

Publication date: 20 April 2015

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.7299

zbMATH Keywords

bivariate orthogonal polynomialsbig \(-1\)- Jacobi polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (1)

Convolution identities for Dunkl orthogonal polynomials from the osp(1|2) Lie superalgebra

Cites Work

• Dunkl shift operators and Bannai-Ito polynomials
• Two-variable orthogonal polynomials of big \(q\)-Jacobi type
• Two-dimensional Krall-Sheffer polynomials and quantum systems on spaces with constant curvature
• The Dunkl oscillator in the plane. II: Representations of the symmetry algebra
• Orthogonal polynomials in two variables
• Orthogonal polynomial eigenfunctions of second-order partial differerential equations
• Two-dimensional Krall-Sheffer polynomials and integrable systems
• A limit $q=-1$ for the big $q$-Jacobi polynomials
• The singular and the 2:1 anisotropic Dunkl oscillators in the plane
• Classical and quantum superintegrability with applications
• A ‘missing’ family of classical orthogonal polynomials
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• Orthogonal Polynomials in Two Variables of q-Hahn and q-Jacobi Type
• The Dunkl oscillator in the plane: I. Superintegrability, separated wavefunctions and overlap coefficients

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