Abstract
In this paper we consider the following contineous Sobolev inner product on the unit circle where λ>0,dμ(φ) is a Bernstein— Szegö measure and dφ/2π is the normalized Lebesgue measure on [0,2π] We study the corresponding sequence of orthogonal polynomials Algebraic properties,asymptotic behaviour and asymptotic distribution of zeros for such polynomials are obtained.
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