Logarithmic hyperseries

van den Dries, Lou; van der Hoeven, Joris; Kaplan, Elliot

doi:10.1090/tran/7876

Logarithmic hyperseries
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by Lou van den Dries, Joris van der Hoeven and Elliot Kaplan PDF

Trans. Amer. Math. Soc. 372 (2019), 5199-5241 Request permission

Abstract:

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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