On the arrangement of coefficients of ultraspherical polynomials
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Chatterjea, S.K. (1966)
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Carlitz, L. (1956)
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H. M. Srivastava (1973)
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Santi Kumar Chatterjea (1963)
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Using refinement of an algorithm given by Habsieger and Salvy to find integer polynomials with smallest sup norm on [0, 1] we extend their table of polynomials up to degree 100. For the degree 95 we find a new exceptionnal polynomial which has complex roots. Our method uses generalized Müntz-Legendre polynomials. We improve slightly the upper bound for the integer transfinite diameter of [0, 1] and give elementary proofs of lower bounds for the exponents of some critical polynomials. ...
Hernández, Vicente G. (1985-1986)
Portugaliae mathematica
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