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On Fibonacci-type polynomial recurrences of order two and the accumulation points of their set of zeros
Publikationstyp
Journal Article
Date Issued
2018
Sprache
English
Author(s)
Institut
TORE-URI
Volume
49
Start Page
33
End Page
41
Citation
Annales Mathematicae et Informaticae (49): 33-41 (2018)
Publisher DOI
Scopus ID
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.