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arxiv: 1810.01810 · v1 · pith:SAXM6IBDnew · submitted 2018-10-03 · 🧮 math.LO

Logarithmic Hyperseries

classification 🧮 math.LO
keywords operationshyperserieslogarithmicmathbbpropertiesbasiccharacterizecomposition
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We define the field $\mathbb{L}$ of logarithmic hyperseries, construct on $\mathbb{L}$ natural operations of differentiation, integration, and composition, establish the basic properties of these operations, and characterize these operations uniquely by such properties.

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