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We identify the accumulation points of the zero set of the polynomial family Gn+1(z) := zGn(z) + Gn−1(z), n 2 N, generated from complex polynomial seeds G0,G1. This problem has been treated recently, for seed pairings of constants with linear polynomials, by Bottcher and Kittaneh (2016). We determine the accumulation points in the general case of arbitrary co-prime polynomial seeds, thus simplifying and streamlining previous approaches. Keywords: Fibonacci polynomials; three-term recurrences; zero attractor; asymptotic zero location. MSC: Primary: 11B39. Secondary: 30C15; 30B15; 40A15.

az eszterházy károly tanárképző főiskola tudományos közleményei. tanulmányok a matematikai tudományok köréből/az eszterházy károly főiskola tudományos közleményei. tanulmányok a matematikai tudományok köréből/annales mathematicae et informaticae

On Fibonacci-type polynomial recurrences of order two and the accumulation points of their set of zeros