A result on Chebyshev centres
T. D. Narang (1986)
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T. D. Narang (1986)
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T. D. Narang (1982)
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A recursion formula for derivatives of Chebyshev polynomials is replaced by an explicit formula. Similar formulae are derived for scaled Fibonacci numbers.
Mazaheri, H., Nezhad, A.Dehghan (2001)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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The famous result of geometric complex analysis, due to Fekete and Szegö, states that the transfinite diameter d(K), characterizing the asymptotic size of K, the Chebyshev constant τ(K), characterizing the minimal uniform deviation of a monic polynomial on K, and the capacity c(K), describing the asymptotic behavior of the Green function at infinity, coincide. In this paper we give a survey of results on multidimensional notions of transfinite diameter, Chebyshev constants and capacities,...
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