PORTUGALIAE MATHEMATICA Vol. 52, No. 4, pp. 391-397 (1995) |
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Catalan's Identity and Chebyshev Polynomials of the Second KindGheorghe UdreaStr. Unirii - Siret, Bl. 7A, SC. I., AP. 17,Târgu-Jiu, Codul 1400, Judetul Gorj - ROMÂNIA Abstract: Let $(U_{n})_{n\ge0}$ be the sequence of Chebyshev polynomials of the second kind and $(F_{n})_{n\ge0}$ the sequence of Fibonacci numbers. In the present work we prove some analogous of the Catalan's identity and generalize some identities for Chebyshev polynomials. Full text of the article:
Electronic version published on: 29 Mar 2001. This page was last modified: 27 Nov 2007.
© 1995 Sociedade Portuguesa de Matemática
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