COMPLEX FACTORIZATIONS OF THE GENERALIZED FIBONACCI SEQUENCES {q n }

In this note, we consider a generalized Fibonacci sequence $\{q_n\}$. Then give a connection between the sequence $\{q_n\}$ and the Chebyshev polynomials of the second kind $U_n(x)$. With the aid of factorization of Chebyshev polynomials of the second kind $U_n(x)$, we derive the complex factorizati...

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Veröffentlicht in:Korean Journal of Mathematics 2015, 23(3), , pp.371-377
1. Verfasser: JUN, SANG PYO
Format: Artikel
Sprache:eng
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Zusammenfassung:In this note, we consider a generalized Fibonacci sequence $\{q_n\}$. Then give a connection between the sequence $\{q_n\}$ and the Chebyshev polynomials of the second kind $U_n(x)$. With the aid of factorization of Chebyshev polynomials of the second kind $U_n(x)$, we derive the complex factorizations of the sequence $\{q_n\}$. KCI Citation Count: 0
ISSN:1976-8605
2288-1433
DOI:10.11568/kjm.2015.23.3.371