Jaroslav Seibert
University of Hradec Králové
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Publication
Featured researches published by Jaroslav Seibert.
Mathematica Slovaca | 2012
Jaroslav Seibert; Pavel Trojovský
The aim of this paper is to give new results about factorizations of the Fibonacci numbers Fn and the Lucas numbers Ln. These numbers are defined by the second order recurrence relation an+2 = an+1+an with the initial terms F0 = 0, F1 = 1 and L0 = 2, L1 = 1, respectively. Proofs of theorems are done with the help of connections between determinants of tridiagonal matrices and the Fibonacci and the Lucas numbers using the Chebyshev polynomials. This method extends the approach used in [CAHILL, N. D.—D’ERRICO, J. R.—SPENCE, J. P.: Complex factorizations of the Fibonacci and Lucas numbers, Fibonacci Quart. 41 (2003), 13–19], and CAHILL, N. D.—NARAYAN, D. A.: Fibonacci and Lucas numbers as tridiagonal matrix determinants, Fibonacci Quart. 42 (2004), 216–221].
Archive | 2007
Jaroslav Seibert
Acta Mathematica Universitatis Ostraviensis | 2006
Jaroslav Seibert; Pavel Trojovský
Archive | 2016
Jaroslav Seibert
MATEMATIKA–FYZIKA–INFORMATIKA | 2016
Jaroslav Seibert; Jaromír Zahrádka
International journal of pure and applied mathematics | 2016
Jaroslav Seibert; Libor Koudela
Archive | 2014
Jaroslav Seibert; Jaromír Zahrádka
Archive | 2013
Jaroslav Seibert
International journal of pure and applied mathematics | 2013
Jaroslav Seibert
Archive | 2010
Jaroslav Seibert
