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
Informatics and Automation, Approximation Theory, Functional Analysis, and Applications, Tome 319 (2022), pp. 223-250

Voir la notice de l'article provenant de la source Math-Net.Ru

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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     author = {A. Yu. Popov},
     title = {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}},
     journal = {Informatics and Automation},
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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. Informatics and Automation, Approximation Theory, Functional Analysis, and Applications, Tome 319 (2022), pp. 223-250. http://geodesic.mathdoc.fr/item/TRSPY_2022_319_a14/