On the separation of the roots of the generalized Fibonacci polynomial
Jonathan Garc\'ia, Carlos A. G\'omez, Florian Luca
TL;DR
This paper establishes new results on how the roots of generalized Fibonacci polynomials are separated and their absolute value properties, contributing to the understanding of their mathematical structure.
Contribution
It provides novel separation results for the roots of generalized Fibonacci polynomials and analyzes their absolute values.
Findings
Roots are well-separated under certain conditions
Absolute values of roots follow specific bounds
New theoretical insights into polynomial root distribution
Abstract
We prove some separation results for the roots of the generalized Fibonacci polynomials and their absolute values
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Mathematics and Applications · Advanced Combinatorial Mathematics