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Polynomials with generalized Fibonacci number coefficients
Author(s)
Sitthaset, Airada
Laohakosol, Vichian
Mavecha, Sukrawan
Date Issued
November 22, 2017
Type
Conference Paper
Abstract
Garth, Mills and Mitchell in 2007 started the invesitgation on the nature of real zeros, and the Mahler measures of Fibonacci-coefficient polynomials, which are polynomials whose coefficients are Fibonacci numbers. Their results have later been extended in various directions. We complement these earlier works by investigatiing generalized Fibonacci-coefficient polynomials, which are polynomials whose coefficients are generalized Fibonacci numbers. Our main results give precise information about the location of the real roots of generalized Fibonacci-coefficient polynomials, and the computation of their Mahler measures.
Citation
Aip Conference Proceedings, 1905, 2017