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A note on the Wiman–Valiron inequality

  • Karl-G. Grosse-Erdmann

摘要

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 obtain a general version of this inequality that seems to have been overlooked in the literature so far. We end the paper with an open problem.