Liouville closed \(H\)-fields
type: Item
instance of: scholarly article
title: Liouville closed \(H\)-fields
zbMATH Open document ID: 1134.12004
author: Matthias Aschenbrenner
author: Lou van den Dries
published in: Journal of Pure and Applied Algebra
publication date: 2005-04-18T00:00:00Z
Mathematics Subject Classification ID: 12H05
Mathematics Subject Classification ID: 12J15
zbMATH DE Number: 2157521
MaRDI profile type: Publication
full work available at URL: j.jpaa.2004.08.009
OpenAlex ID: W2019809727
cites work: Closed asymptotic couples
cites work: \(H\)-fields and their Liouville extensions
cites work: Differentially algebraic gaps
cites work: Q3770650
cites work: New ''orders of infinity''
cites work: Q5668931
cites work: Model theory.
cites work: An intermediate value property for first-order differential polynomials
cites work: Logarithmic-Exponential Power Series
cites work: Logarithmic-exponential series
cites work: Introduction to analyzable functions and constructive proof of the Dulac conjecture
cites work: Solving Ordinary Differential Equations in Terms of Series with Real Exponents
cites work: Q4519869
cites work: Q4421461
cites work: Rational Approximation to Solutions of Algebraic Differential Equations
cites work: Maps on Ultrametric Spaces, Hensel's Lemma, and Differential Equations Over Valued Fields
cites work: Exponentiation in power series fields
cites work: Ordered exponential fields
cites work: Q4286756
cites work: Q3223453
cites work: Differential valuations
cites work: On the Value Group of a Differential Valuation II
cites work: Hardy fields
cites work: The Rank of a Hardy Field
cites work: Rank change on adjoining real powers to Hardy fields
DOI: 10.1016/J.JPAA.2004.08.009
description: scientific article; zbMATH DE number 2157521