2010/02/07 by Varadharajan Srinivasan, V. Ravi Srinivasan, Srinivasan, V. Ravi
Computer Science · Mathematics · #12Fxx #12H05 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Matrix Theory and Algorithms #math.CA #msc:12Fxx #msc:12H05
paper · pdf · doi:10.48550/arxiv.1002.1432
15 pages, 0 figures
arxiv created 2010/02/07 · openalex publication_date 2010/02/07 · arxiv updated 2010/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 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.