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Zeitschrift für Analysis und ihre Anwendungen

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Volume 15, Issue 3, 1996, pp. 729–746
DOI: 10.4171/ZAA/725

Published online: 1996-09-30

Fibonacci Polynomials their Properties and Applications

Z.W. M. Trzaska[1]

(1) University of Warsaw, Poland

The paper deals with polynomials characterized by coefficients determined by successive elements of the Fibonacci sequence. Basic properties and applications of the Fibonacci polynomials are demonstrated. The index of concentration of Fibonacci polynomials at $k$-th degree, locations of their zeros and optimization procedures for such polynomials are discussed. Illustrative examples are presented.

Keywords: Fibonacci sequence, Fibonacci polynomials, recurrence relations, zeros of polynomials, stability of dynamical systems

Trzaska Z.W.: Fibonacci Polynomials their Properties and Applications. Z. Anal. Anwend. 15 (1996), 729-746. doi: 10.4171/ZAA/725