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Some structural results on Dn-finite functions.
- Source :
-
Advances in Applied Mathematics . Jun2020, Vol. 117, pN.PAG-N.PAG. 1p. - Publication Year :
- 2020
-
Abstract
- D-finite (or holonomic) functions satisfy linear differential equations with polynomial coefficients. They form a large class of functions that appear in many applications in Mathematics or Physics. It is well-known that these functions are closed under certain operations and these closure properties can be executed algorithmically. Recently, the notion of D-finite functions has been generalized to differentially definable or D n -finite functions. Also these functions are closed under operations such as forming (anti)derivative, addition or multiplication and, again, these can be implemented. In this paper we investigate how D n -finite functions behave under composition and how they are related to algebraic and differentially algebraic functions. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LINEAR differential equations
*ALGEBRAIC functions
*GALOIS theory
Subjects
Details
- Language :
- English
- ISSN :
- 01968858
- Volume :
- 117
- Database :
- Academic Search Index
- Journal :
- Advances in Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 142424464
- Full Text :
- https://doi.org/10.1016/j.aam.2020.102027