Elliptic Hypergeometric Laurent Biorthogonal Polynomials with a Dense Point Spectrum on the Unit Circle

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2009
• Автори: Tsujimoto, S., Zhedanov, A.
• Формат: Стаття
• Мова: English
• Опубліковано: Інститут математики НАН України 2009
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/149171
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Elliptic Hypergeometric Laurent Biorthogonal Polynomials with a Dense Point Spectrum on the Unit Circle / S. Tsujimoto, A. Zhedanov // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 33 назв. — англ.

Using the technique of the elliptic Frobenius determinant, we construct new elliptic solutions of the QD-algorithm. These solutions can be interpreted as elliptic solutions of the discrete-time Toda chain as well. As a by-product, we obtain new explicit orthogonal and biorthogonal polynomials in ter...