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.
ISSN: 1787-5021
Institute: Zuverlässiges Rechnen E-19 
Type: (wissenschaftlicher) Artikel
Project: Recursively defined functions and their zero distribution 
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