Orthogonal trigonometric polynomials: Riemann-Hilbert analysis and relations with OPUC
نویسندگان
چکیده
Abstract. In this paper, we study the theory of orthogonal trigonometric polynomials (OTP). We obtain asymptotics of OTP with positive and analytic weight functions by Riemann-Hilbert approach and find they have relations with orthogonal polynomials on the unit circle (OPUC). By the relations and the theory of OPUC, we also get four-terms recurrent formulae, ChristoffelDarboux formula and some properties of zeros for orthogonal trigonometric polynomials.
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ورودعنوان ژورنال:
- Asymptotic Analysis
دوره 79 شماره
صفحات -
تاریخ انتشار 2012