Lower Bounds for the Modulus of Analytic Functions

descriptionPublicationkeyboard_double_arrow_right Article 01 May 1990 English Publisher:WileyJournal:Bulletin of the London Mathematical Society, volume 22, pages 239-244 (issn: 0024-6093,

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Authors: Momm, Siegfried;

doi: 10.1112/blms/22.3.239

Lower Bounds for the Modulus of Analytic Functions

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Abstract

Let f be an analytic function in \(| z| 0)\) with \(f(0)=1\). If f has no zeros there are well known estimates from below in terms of the maximum modulus function \[ M(t)=\max_{| z| \leq t}| f(z)|,\quad 0\leq t0\) such that for all \(0

Related Organizations

University of Duesseldorf
Germany

Keywords

lower bounds, Inequalities in the complex plane, minimum modulus, maximum modulus

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