Elliptic Biorthogonal Polynomials Connected with Hermite's Continued Fraction
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Elliptic Biorthogonal Polynomials Connected with Hermite's Continued Fraction
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| Creator |
Vinet, L.
Zhedanov, A. |
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| Description |
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 the Szegö polynomials orthogonal on the unit circle. Relations with associated Legendre polynomials are considered.
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| Date |
2019-02-16T09:00:30Z
2019-02-16T09:00:30Z 2007 |
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| Type |
Article
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| Identifier |
Elliptic Biorthogonal Polynomials Connected with Hermite's Continued Fraction / L. Vinet, A. Zhedanov // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 27 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 33C45; 42C05 http://dspace.nbuv.gov.ua/handle/123456789/147832 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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