|Publisher DOI:||10.33039/ami.2018.05.004||Title:||On Fibonacci-type polynomial recurrences of order two and the accumulation points of their set of zeros||Language:||English||Authors:||Batra, Prashant||Issue Date:||2018||Source:||Annales Mathematicae et Informaticae (49): 33-41 (2018)||Journal or Series Name:||Annales Mathematicae et Informaticae||Abstract (english):||We identify the accumulation points of the zero set of the polynomial family G n+1 (z):= zG n (z) + G n−1 (z), n ∈ N, generated from complex polynomial seeds G 0 , G 1 . This problem has been treated recently, for seed pairings of constants with linear polynomials, by Böttcher and Kittaneh (2016). We determine the accumulation points in the general case of arbitrary co-prime polynomial seeds, thus simplifying and streamlining previous approaches. © 2018, Eszterhazy Karoly College. All rights reserved.||URI:||http://hdl.handle.net/11420/2193||ISSN:||1787-5021||Institute:||Zuverlässiges Rechnen E-19||Type:||(wissenschaftlicher) Artikel|
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