Elliptic hypergeometric Laurent biorthogonal polynomials with a dense point spectrum on the unit circle
نویسندگان
چکیده
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 terms of the elliptic hypergeometric function 3G2(z). Their recurrence coefficients are expressed in terms of the elliptic functions. 1991 Mathematics Subject Classification. 33E05, 33E30, 33C47
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Elliptic polynomials orthogonal on the unit circle with a dense point spectrum
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