Iterated Antiderivative Extensions

Details Iterated Antiderivative Extensions Iterated Antiderivative Extensions

2010-02-07

arxiv.org/abs/1002.1432v1

Mathematics

Classical Analysis and ODEs

15 pages, 0 figures

Scientific paper

Let $F$ be a characteristic zero differential field with an algebraically closed field of constants and let $E$ be a no new constants extension of $F$. We say that $E$ is an \textsl{iterated antiderivative extension} of $F$ if $E$ is a liouvillian extension of $F$ obtained by adjoining antiderivatives alone. In this article, we will show that if $E$ is an iterated antiderivative extension of $F$ and $K$ is a differential subfield of $E$ that contains $F$ then $K$ is an iterated antiderivative extension of $F$.

Affiliated with

Also associated with

No associations

Rating

Iterated Antiderivative Extensions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Iterated Antiderivative Extensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Iterated Antiderivative Extensions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-582701