Elliptic solutions of the Toda chain and a generalization of the Stieltjes-Carlitz polynomials
نویسنده
چکیده
We construct new elliptic solutions of the restricted Toda chain. These solutions give rise to a new explicit class of orthogonal polynomials which can be considered as a generalization of the Stieltjes-Carlitz elliptic polynomials. The recurrence coefficients and the weight function of these polynomials are expressed explicitly. In the degenerated cases of the elliptic functions the modified Meixner polynomials and the Krall-Laguerre polynomials appear. 1991 Mathematics Subject Classification. 33C47, 33E05, 37K10
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تاریخ انتشار 2008