
arXiv: 1404.3112
handle: 11585/349525 , 2158/639285
AbstractIn 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.
Hypercomplex analysis, Mathematics - Complex Variables, Geometric function theory, functions of a quaternionic variable, Power series (including lacunary series) in one complex variable, hypercomplex anasis; bohr theorem, Functions of hypercomplex variables and generalized variables, Bohr theorem, FOS: Mathematics, 30G35, 30B10, 30C99, Complex Variables (math.CV)
Hypercomplex analysis, Mathematics - Complex Variables, Geometric function theory, functions of a quaternionic variable, Power series (including lacunary series) in one complex variable, hypercomplex anasis; bohr theorem, Functions of hypercomplex variables and generalized variables, Bohr theorem, FOS: Mathematics, 30G35, 30B10, 30C99, Complex Variables (math.CV)
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 14 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Top 10% | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Top 10% |
