Asymptotic Distribution of Zeros of Weighted Fibonacci Polynomials

Authors

Matthew He, Nova Southeastern UniversityFollow
Paolo E. Ricci

Document Type

Article

Publication Date

1-1-1996

Publication Title

Complex Variables, Theory and Application: An International Journal

ISSN

1747-6933

Volume

28

Issue/No.

4

First Page

375

Last Page

384

Abstract

Exploiting the relation between the classical Fibonacci polynomials {F _n(z)} and a certain weighted Faber polynomials {B _n(z,g)} associated with a domain E in complex plane and a weight function g(z), we define weighted Fibonacci polynomials in complex domain. Applying fundamental properties of weighted Faber polynomials, we extend basic properties of Fibonacci polynomials to complex plane. Using potential theoretic methods, we determine the asymptotic distribution of the zeros of the weighted Fibonacci polynomials.

NSUWorks Citation

He, Matthew and Ricci, Paolo E., "Asymptotic Distribution of Zeros of Weighted Fibonacci Polynomials" (1996). Mathematics Faculty Articles. 188.
https://nsuworks.nova.edu/math_facarticles/188

DOI

10.1080/17476939608814867