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math.CV2024
A note on the Wiman-Valiron inequality
Karl-G. Grosse-Erdmann
The Wiman-Valiron inequality relates the maximum modulus of an analytic function to its Taylor coefficients via the maximum term. After a short overview of the known results, we ob…
math.CV2024
Rate of growth of random analytic functions, with an application to linear dynamics
Kevin Agneessens, Karl-G. Grosse-Erdmann
We obtain Wiman-Valiron type inequalities for random entire functions and for random analytic functions on the unit disk that improve a classical result of ErdÅs and Rényi and re…