Zero distribution of polynomials satisfying a differential-difference equation

2013/12/03 by Diego Dominici, Walter Van Assche, Dominici, Diego +1
Mathematics · #33C45 #34E05 (Primary) 11B83 #44A15 (Secondary) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:11B83 #msc:33C45 #msc:34E05 #msc:44A15

paper · pdf · doi:10.48550/arxiv.1312.0698

26 pages, 2 figures

arxiv created 2013/12/03 · arxiv updated 2013/12/04

Abstract

In this paper we investigate the asymptotic distribution of the zeros of polynomials P_n(x) satisfying a first order differential-difference equation. We give several examples of orthogonal and non-orthogonal families.

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