On the universal zero attractor of the Tribonacci-related polynomials

William Goh; Matthew X. He; Paolo E. Ricci

doi:10.1007/s10092-009-0002-0

On the universal zero attractor of the Tribonacci-related polynomials

William Goh
, Matthew X. He
, Paolo E. Ricci

Research output: Contribution to journal › Article

6 Scopus citations

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.

Original language	American English
Pages (from-to)	95-129
Journal	Calcolo: A Quarterly on Numerical Analysis and Theory of Computation
Volume	46
DOIs	https://doi.org/10.1007/s10092-009-0002-0
State	Published - Jun 1 2009

Keywords

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

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10.1007/s10092-009-0002-0

http://nsuworks.nova.edu/math_facarticles/329

Cite this

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title = "On the universal zero attractor of the Tribonacci-related polynomials",

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. {\textcopyright} Springer-Verlag 2009.",

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

author = "William Goh and He, \{Matthew X.\} and Ricci, \{Paolo E.\}",

year = "2009",

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doi = "10.1007/s10092-009-0002-0",

language = "American English",

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T1 - On the universal zero attractor of the Tribonacci-related polynomials

AU - Goh, William

AU - He, Matthew X.

AU - Ricci, Paolo E.

PY - 2009/6/1

Y1 - 2009/6/1

N2 - 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.

AB - 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.

KW - Argument principle

KW - Conformal mappings

KW - Jensen's inequality

KW - Tribonacci polynomials

KW - Zero attractor

U2 - 10.1007/s10092-009-0002-0

DO - 10.1007/s10092-009-0002-0

M3 - Article

SN - 0008-0624

VL - 46

SP - 95

EP - 129

JO - Calcolo: A Quarterly on Numerical Analysis and Theory of Computation

JF - Calcolo: A Quarterly on Numerical Analysis and Theory of Computation

ER -

On the universal zero attractor of the Tribonacci-related polynomials

Abstract

Keywords

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