Farid Bencherif

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Letting T n (resp. U n) be the n-th Chebyshev polynomials of the first (resp. second) kind, we prove that the sequences X k T n−k k and X k U n−k k for n − 2 n/2 ≤ k ≤ n − n/2 are two basis of the Q-vectorial space E n [X] formed by the polynomials of Q [X] having the same parity as n and of degree ≤ n. Also T n and U n admit remarkableness integer(More)
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