On the Chebyshev Polynomials of the Second Kind

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 1967 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Review, volume 9, pages 729-733 (issn: 0036-1445, eissn: 1095-7200,

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Authors: Chawla, M. M.;

doi: 10.1137/1009115

On the Chebyshev Polynomials of the Second Kind

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Abstract

(1) Q*() = 1 (1 t) t) = 0), 1, 2, ... Equation (1) defines Qn*(z) as a single-valued analytic function for all z in the plane with the interval -1 ? t 1, maps onto the ellipse &p with foci at z = 41 and semiaxes 2(P ? p') and .1(p -_p). The first lemma gives a simple representation for Qn*(z) on &p. LEMAIA 1. For z E &p,

Keywords

approximation and series expansion

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