Displaying similar documents to “On the generalization of the Fibonacci-coefficient polynomials.”

An introduction to finite fibonomial calculus

Ewa Krot (2004)

Open Mathematics

Similarity:

This is an indicatory presentation of main definitions and theorems of Fibonomial Calculus which is a special case of ψ-extented Rota's finite operator calculus [7].

On zeros of regular orthogonal polynomials on the unit circle

P. García Lázaro, F. Marcellán (1993)

Annales Polonici Mathematici

Similarity:

A new approach to the study of zeros of orthogonal polynomials with respect to an Hermitian and regular linear functional is presented. Some results concerning zeros of kernels are given.

Single polynomials that correspond to pairs of cyclotomic polynomials with interlacing zeros

James McKee, Chris Smyth (2013)

Open Mathematics

Similarity:

We give a complete classification of all pairs of cyclotomic polynomials whose zeros interlace on the unit circle, making explicit a result essentially contained in work of Beukers and Heckman. We show that each such pair corresponds to a single polynomial from a certain special class of integer polynomials, the 2-reciprocal discbionic polynomials. We also show that each such pair also corresponds (in four different ways) to a single Pisot polynomial from a certain restricted class,...