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

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...

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Vydáno v:	Symmetry, integrability and geometry, methods and applications Ročník 5; s. 033
Hlavní autor:	Tsujimoto, Satoshi
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Kiev National Academy of Sciences of Ukraine 01.01.2009 National Academy of Science of Ukraine
Témata:	dense point spectrum elliptic Frobenius determinant elliptic hypergeometric functions Krall-Jacobi orthogonal polynomials orthogonal and biorthogonal polynomials on the unit circle QD-algorithm quadratic operator pencils
ISSN:	1815-0659, 1815-0659
On-line přístup:	Získat plný text
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