Connection of Semi-integer Trigonometric Orthogonal Polynomials with Szegő Polynomials.

In this paper we investigate connection between semi-integer orthogonal polynomials and Szegő's class of polynomials, orthogonal on the unit circle. We find a representation of the semi-integer orthogonal polynomials in terms of Szegő's polynomials orthogonal on the unit circle for certain class of weight functions. [ABSTRACT FROM AUTHOR]