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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Vinet, Luc, Zhedanov, Alexei (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Matematički Vesnik
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Grünbaum, F. Alberto (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Groza, Valentyna A., Kachuryk, Ivan I. (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Publications de l'Institut Mathématique
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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...
Sahi, Siddhartha (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Rendiconti del Seminario Matematico della Università di Padova
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Publications de l'Institut Mathématique
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