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arxiv: 1706.04676 · v2 · pith:6A4FDFB5new · submitted 2017-06-14 · 🧮 math.DS · math.CV

Continuity of the Green function in meromorphic families of polynomials

classification 🧮 math.DS math.CV
keywords functiongreenmeromorphicpolynomialsalongcontinuitycontinuousdisk
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We prove that along any marked point the Green function of a meromorphic family of polynomials parameterized by the punctured unit disk explodes exponentially fast near the origin with a continuous error term.

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