Connection of Semi-integer Trigonometric Orthogonal Polynomials with Szegö Polynomials
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چکیده
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.
منابع مشابه
Trigonometric Multiple Orthogonal Polynomials of Semi-integer Degree and the Corresponding Quadrature Formulas
Abstract. An optimal set of quadrature formulas with an odd number of nodes for trigonometric polynomials in Borges’ sense [Numer. Math. 67 (1994), 271–288], as well as trigonometric multiple orthogonal polynomials of semi-integer degree are defined and studied. The main properties of such a kind of orthogonality are proved. Also, an optimal set of quadrature rules is characterized by trigonome...
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تاریخ انتشار 2006