Elliptic Biorthogonal Polynomials Connected with Hermite's Continued Fraction

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dc.creatorVinet, Luc
dc.creatorZhedanov, Alexei
dc.date2007-01-04
dc.date.accessioned2026-07-07T09:34:34Z
dc.date.available2026-07-07T09:34:34Z
dc.descriptionWe 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 the Szegö polynomials orthogonal on the unit circle. Relations with associated Legendre polynomials are considered.
dc.descriptionThis is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/math/0701135
dc.identifierhttp://arxiv.org/abs/math/0701135
dc.identifierSIGMA 3 (2007), 003, 18 pages
dc.identifierdoi:10.3842/SIGMA.2007.003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159539
dc.subjectClassical Analysis and ODEs
dc.subjectMathematical Physics
dc.titleElliptic Biorthogonal Polynomials Connected with Hermite's Continued Fraction
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