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arxiv: 1312.0698 · v1 · pith:WKYTLYT4new · submitted 2013-12-03 · 🧮 math.CA

Zero distribution of polynomials satisfying a differential-difference equation

classification 🧮 math.CA
keywords differential-differencedistributionequationpolynomialssatisfyingasymptoticexamplesfamilies
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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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