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 -th degree, locations of their zeros and optimization procedures for such polynomials are discussed. Illustrative examples are presented.
Cite this article
Z.W. M. Trzaska, Fibonacci Polynomials their Properties and Applications. Z. Anal. Anwend. 15 (1996), no. 3, pp. 729–746DOI 10.4171/ZAA/725