Elliptic Biorthogonal Polynomials Connected with Hermite's Continued Fraction

We study a family of the Laurent biorthogonal polynomials arising from the Hermite continued fraction for a ratio of two complete elliptic integrals. Recurrence coefficients, explicit expression and the weight function for these polynomials are obtained. We construct also a new explicit example of t...

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Bibliographic Details
Main Authors: Luc Vinet, Alexei Zhedanov
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2007-01-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://www.emis.de/journals/SIGMA/2007/003/

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