Lower average estimate for the minimum modulus on circles for an entire function of genus zero

DOI10.1007/s10958-024-07494-2MaRDI QIDQ6656428

V. B. Sherstyukov, Anton Yu. Popov

Publication date: 2 January 2025

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

rootsestimatesentire functions

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Entire functions of one complex variable (general theory) (30D20) Inequalities in the complex plane (30A10)

Cites Work

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• The Minimum Modulus of Large Integral Functions
• Lower bound for minimum of modulus of entire function of genus zero with positive roots in terms of degree of maximal modulus at frequent sequence of points
• Strengthening of Gaisin’s lemma on the minimum modulus of even canonical products

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