A note on the roots of some special type polynomials

作者：Halici Serpil^*; Akyuz Zeynep

来源：Journal of Inequalities and Applications, 2013, 2013(1): 466.

DOI：10.1186/1029-242X-2013-466

• Fibonacci polynomials
• Binet formula
• generating function

In this study, we investigate the polynomials for n >= 2 and positive integers k and a positive real number a, with the initial values G(0)(x) = -a, G(1) (x) = x - a
G(n+2)((k))(X) = X(k)G(n+1)((k))(X) + G(n)((k))(X).
We give some fundamental properties related to them. Also, we obtain asymptotic results for the roots of polynomials G(n)((k))(X).

• 出版日期2013-11-7