Logarithmic hyperseries

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

Research output: Contribution to journalArticle

Abstract

We define the field L of logarithmic hyperseries, construct on L natural operations of differentiation, integration, and composition, establish the basic properties of these operations, and characterize these operations uniquely by such properties.
Original languageEnglish (US)
Pages (from-to)5199-5241
Number of pages43
JournalTransactions of the American Mathematical Society
Volume372
Issue number7
DOIs
StatePublished - Jul 1 2019

Fingerprint

Logarithmic
Chemical analysis

Cite this

Logarithmic hyperseries. / van den Dries, Lou; van der Hoeven, Joris; Kaplan, Elliot.

In: Transactions of the American Mathematical Society, Vol. 372, No. 7, 01.07.2019, p. 5199-5241.

Research output: Contribution to journalArticle

van den Dries, Lou ; van der Hoeven, Joris ; Kaplan, Elliot. / Logarithmic hyperseries. In: Transactions of the American Mathematical Society. 2019 ; Vol. 372, No. 7. pp. 5199-5241.
@article{e4a75a5454b240c98dc12dd561d60453,
title = "Logarithmic hyperseries",
abstract = "We define the field L of logarithmic hyperseries, construct on L natural operations of differentiation, integration, and composition, establish the basic properties of these operations, and characterize these operations uniquely by such properties.",
author = "{van den Dries}, Lou and {van der Hoeven}, Joris and Elliot Kaplan",
year = "2019",
month = "7",
day = "1",
doi = "10.1090/tran/7876",
language = "English (US)",
volume = "372",
pages = "5199--5241",
journal = "Transactions of the American Mathematical Society",
issn = "0002-9947",
publisher = "American Mathematical Society",
number = "7",

}

TY - JOUR

T1 - Logarithmic hyperseries

AU - van den Dries, Lou

AU - van der Hoeven, Joris

AU - Kaplan, Elliot

PY - 2019/7/1

Y1 - 2019/7/1

N2 - We define the field L of logarithmic hyperseries, construct on L natural operations of differentiation, integration, and composition, establish the basic properties of these operations, and characterize these operations uniquely by such properties.

AB - We define the field L of logarithmic hyperseries, construct on L natural operations of differentiation, integration, and composition, establish the basic properties of these operations, and characterize these operations uniquely by such properties.

U2 - 10.1090/tran/7876

DO - 10.1090/tran/7876

M3 - Article

VL - 372

SP - 5199

EP - 5241

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

SN - 0002-9947

IS - 7

ER -