Abstract
Let be a positive integer and let be an arbitrary, fixed positive integer. We define a generalized Fibonacci-type polynomial sequence by , , and for . Let represent the maximum real zero of . We prove that the sequence is decreasing and converges to a real number . Moreover, we prove that the sequence is increasing and converges to as well. We conclude by proving that is decreasing and converges to .
Citation
Rebecca Grider. Kristi Karber. "Convergence of the maximum zeros of a class of Fibonacci-type polynomials." Involve 8 (2) 211 - 220, 2015. https://doi.org/10.2140/involve.2015.8.211
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