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Complex Roots of Polynomials with Generalized Fibonacci Coefficients
Contributed by:
Jessica Alfonsi
(Padova, Italy)
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Snapshot 1: complex plot of roots of the
degree polynomial for the bronze number generalized sequence
Snapshot 2: complex plot for the
degree polynomial for the Fibonacci sequence
with highlighted circle of radius equal to the golden number
Snapshot 3: complex plot for the
degree polynomial for the generalized Fibonacci sequence
with highlighted circle of radius equal to the nickel number
References
[1] R. E. Whitney, ed., "Advanced Problems and Solutions,"
The Fibonacci Quarterly
,
26
(3), 1988 pp. 283–288. (Jun 16, 2021)
www.fq.math.ca/Scanned/26-3/advanced26-3.pdf
.
[2] R. E. Whitney, ed., "Advanced Problems and Solutions,"
The Fibonacci Quarterly
,
28
(3), 1990 pp. 283–288. (Jun 16, 2021)
www.fq.math.ca/Scanned/28-3/advanced28-3-a.pdf
.
[3] V. W. De Spinadel, "The Metallic Means Family and Art,"
Journal of Applied Mathematics
,
3
(1), 2010 pp. 53–64. (Jun 16, 2021)
www.aplimat.com/files/Journal_volume_3/Number_1.pdf
.
RELATED LINKS
Explore S. Rabinowitz's Golden Result with ComplexPlot
(
Wolfram web resource
)
PERMANENT CITATION
Jessica Alfonsi
"
Complex Roots of Polynomials with Generalized Fibonacci Coefficients
"
http://demonstrations.wolfram.com/ComplexRootsOfPolynomialsWithGeneralizedFibonacciCoefficient/
Wolfram Demonstrations Project
Published: July 9, 2021
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