Common zeros of polynomials satisfying a recurrence of order two

2017/12/12 by David G. L. Wang, Wang, David G. L., Dannielle D.D. Jin +1 · 1 citation
Mathematics · Computer Science · #Iterative Methods for Nonlinear Equations #Polynomial and algebraic computation #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.1712.04231

Abstract

We give a characterization of common zeros of a sequence of univariate polynomials W_n(z) defined by a recurrence of order two with polynomial coefficients, and with W₀(z)=1. Real common zeros for such polynomials with real coefficients are studied further. This paper contributes to the study of root distribution of recursive polynomial sequences.

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