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Complex Chebyshev Polynomials on Circular Sectors with Degree Six or Less

1982
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Mathematics of Computation
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Let T" denote the nth Chebyshev polynomial on the circular sector S" = [z: \z\< 1, | argz|< a). This paper contains numerical values of ||7^*||^ and the corresponding coefficients of T£ for n = 1(1)6 and a = 0°(5°)180°. Also all critical angles for T°, n = 1(1)6 are listed, where an angle is called critical when the number of absolute maxima of ¡ T" \ changes at that angle. All figures are given to six places. The positions (and hence the number) of extremal points of T", n = 1(1)6 are

doi:10.2307/2007337
fatcat:x6ftwcwyzba4vejvyhcayzzmmy