Geodesic
Lower Bound on the Minimum Modulus of an Analytic Function on a Circle in Terms of a Negative Power of Its Norm on a Larger Circle
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Approximation Theory, Functional Analysis, and Applications, Tome 319 (2022), pp. 223-250.

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A lower bound is derived for the maximum value of the minimum modulus of an analytic function on a circle whose radius runs through an interval with a fixed ratio of endpoints.
Keywords: analytic function, entire function, minimum modulus, maximum modulus. 
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A. Yu. Popov. Lower Bound on the Minimum Modulus of an Analytic Function on a Circle in Terms of a Negative Power of Its Norm on a Larger Circle. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Approximation Theory, Functional Analysis, and Applications, Tome 319 (2022), pp. 223-250. http://geodesic.mathdoc.fr/item/TM_2022_319_a14/

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