Elliptic biorthogonal polynomials connected with Hermite's continued fraction.
Vinet, Luc, Zhedanov, Alexei (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Displaying similar documents to “An alternative definition of the Hermite polynomials related to the Dunkl Laplacian.”
Elliptic biorthogonal polynomials connected with Hermite's continued fraction.
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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...
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