PORTUGALIAE MATHEMATICA Vol. 52, No. 4, pp. 391397 (1995) 

Catalan's Identity and Chebyshev Polynomials of the Second KindGheorghe UdreaStr. Unirii  Siret, Bl. 7A, SC. I., AP. 17,TârguJiu, 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:
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© 1995 Sociedade Portuguesa de Matemática
