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Article
Numerical Results on the Zeros of Generalized Fibonacci Polynomials
Calcolo: A Quarterly on Numerical Analysis and Theory of Computation
  • Matthew He, Nova Southeastern University
  • P. E. Ricci
  • D. S. Simon
Document Type
Article
Publication Date
1-1-1997
Disciplines
Abstract

We study some fundamental properties of generalized Fibonacci polynomials, by using the properties and characteristics of classical Fibonacci polynomials as a motivation. We derive the generating function and an explicit representation of these polynomials. A trace relation for a related r×r matrix Q r is derived. We then study the location and distribution of the zeros of the polynomials by illustrating our numerical results and by means of the so-called Newton sum rules.

Citation Information
Matthew He, P. E. Ricci and D. S. Simon. "Numerical Results on the Zeros of Generalized Fibonacci Polynomials" Calcolo: A Quarterly on Numerical Analysis and Theory of Computation Vol. 34 Iss. 1-4 (1997) p. 25 - 40 ISSN: 0008-0624
Available at: http://works.bepress.com/matthew-he/33/