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Location of zeros of polynomials

Zireh A.

Journal of Applied Analysis

2012

Vol. 18, nr 1

159-166

In this paper, we obtain a result concerning the location of zeros of a polynomial p(z)= αo+a1z+···+αnzn, where αi are complex coefficients and z is a complex variable. We obtain a ring shaped region containing all the zeros of a polynomial involving binomial coefficients and t,z-Fibonacci numbers. This result generalizes some well-known inequalities.

On generalized Pell numbers and their graph representations

Włoch I.

Commentationes Mathematicae

2008

Vol. 48, [Z] 2

169-175

In this paper we give a generalization of the Pell numbers and the Pell- Lucas numbers and next we apply this concept for their graph representations. We shall show that the generalized Pell numbers and the Pell-Lucas numbers are equal to the total number of k-independent sets in special graphs.