Elliptic polynomials orthogonal on the unit circle with a dense point spectrum
نویسندگان
چکیده
منابع مشابه
Elliptic polynomials orthogonal on the unit circle with a dense point spectrum
We introduce two explicit examples of polynomials orthogonal on the unit circle. Moments and the reflection coefficients are expressed in terms of Jacobi elliptic functions. We find explicit expression for these polynomials in terms of a new type of elliptic hypergeometric function. We show that obtained polynomials are orthogonal on the unit circle with respect to a dense point meausure, i.e. ...
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ژورنال
عنوان ژورنال: The Ramanujan Journal
سال: 2009
ISSN: 1382-4090,1572-9303
DOI: 10.1007/s11139-008-9133-1