Operational formulae for certain classical polynomials - II
Santi Kumar Chatterjea (1963)
Rendiconti del Seminario Matematico della Università di Padova
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Santi Kumar Chatterjea (1963)
Rendiconti del Seminario Matematico della Università di Padova
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Al-Salam, W.A., Carlitz, L. (1966)
Portugaliae mathematica
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F. T. Howard (1979)
Rendiconti del Seminario Matematico della Università di Padova
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Mohd Akhlaq Malik (2013)
Matematički Vesnik
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S. K. Chatterjea (1963)
Collectanea Mathematica
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Chatterjea, S.K. (1969)
Portugaliae mathematica
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L. Carlitz (1964)
Acta Arithmetica
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Qiang Wu (2003)
Journal de théorie des nombres de Bordeaux
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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. ...
Noriaki Kimura (1988)
Acta Arithmetica
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S. K. Chatterjea (1960)
Rendiconti del Seminario Matematico della Università di Padova
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