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On the algebraic dependence of holonomic functions
- Source :
- Annales Henri Lebesgue. 5:141-177
- Publication Year :
- 2022
- Publisher :
- Cellule MathDoc/CEDRAM, 2022.
-
Abstract
- We study the form of possible algebraic relations between functions satisfying linear differential equations. In particular , if f and g satisfy linear differential equations and are algebraically dependent, we give conditions on the differential Galois group associated to f guaranteeing that g is a polynomial in f. We apply this to hypergeometric functions and iterated integrals.
- Subjects :
- Mathematics - Number Theory
Mathematics - Classical Analysis and ODEs
[MATH.MATH-AC]Mathematics [math]/Commutative Algebra [math.AC]
Classical Analysis and ODEs (math.CA)
FOS: Mathematics
Ocean Engineering
Number Theory (math.NT)
[MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA]
Mathematics - Commutative Algebra
Commutative Algebra (math.AC)
[MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT]
Subjects
Details
- ISSN :
- 26449463
- Volume :
- 5
- Database :
- OpenAIRE
- Journal :
- Annales Henri Lebesgue
- Accession number :
- edsair.doi.dedup.....0d005b284d5574e1e3290f9dba25c0c4