On Chebyshev's polynomials and certain combinatorial identities
Let Tn(x) and Un(x) be the Chebyshev's polynomial of the rst kind and second kind of degree n, respectively. For n ? 1, U2n-1(x) = 2Tn(x)Un-1(x) and U2n(x) = (-1)n An(x)An(-x), where An(x) = 2n ?ni=1 (x - cos i?), ? = 2?/(2n + 1). In this paper, we will study the polynomial An(x). Let An(x) = ?...
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Bulletin of the Malaysian Mathematical Sciences Society , Malaysian Mathematical Sciences Society, Universiti Sains Malaysia, Springer
2011
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| Online Access: | http://www.myjurnal.my/public/article-view.php?id=14987 |