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Keywords:

  • Functions of a quaternionic variable;
  • Bohr Theorem MSC (2010) 30G35;
  • 30B10;
  • 30C99

Abstract

In this paper we prove the Bohr Theorem for slice regular functions. Following the historical path that led to the proof of the classical Bohr Theorem, we also extend the Borel-Carathéodory Theorem to the new setting.