Mathematics Faculty Articles

Title

On the universal zero attractor of the Tribonacci-related polynomials

Document Type

Article

Publication Date

6-1-2009

Publication Title

Calcolo

Keywords

Argument principle, Conformal mappings, Jensen's inequality, Tribonacci polynomials, Zero attractor

ISSN

00080624

Volume

46

Issue/No.

2

First Page

95

Last Page

129

Abstract

In this paper we solve a conjecture on the zeros of R-Bonacci polynomials in the case when r = 3 (Tribonacci polynomials) and determine the zero attractor of the Tribonacci polynomials. Universality of the zero attractor is also established. © Springer-Verlag 2009.

DOI

10.1007/s10092-009-0002-0

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