@article{JIMENEZPASTOR2020102027,
    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 Dn-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 Dn-finite functions behave under composition and how they are related to algebraic and differentially algebraic functions.},
    Author = {Jim{\'e}nez-Pastor, Antonio and Pillwein, Veronika and Singer, Michael F.},
    File = {Some structural results on Dn-finite functions - j.aam.2020.102027.pdf},
    ISSN = {0196-8858},
    Journal = {Advances in Applied Mathematics},
    Keywords = {Holonomic functions, Closure properties, Differential Galois theory, Algorithms},
    Pages = {102027},
    Title = {Some structural results on Dn-finite functions},
    URL = {https://www.sciencedirect.com/science/article/pii/S0196885820300300},
    Volume = {117},
    Year = {2020},
    bdsk-url-1 = {https://www.sciencedirect.com/science/article/pii/S0196885820300300},
    bdsk-url-2 = {https://doi.org/10.1016/j.aam.2020.102027},
    date-added = {2022-07-01 12:43:06 +0200},
    date-modified = {2022-07-01 12:43:06 +0200},
    doi = {10.1016/j.aam.2020.102027}
}

@article{JIMENEZPASTOR2020102027, 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 Dn-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 Dn-finite functions behave under composition and how they are related to algebraic and differentially algebraic functions.}, Author = {Jim{\'e}nez-Pastor, Antonio and Pillwein, Veronika and Singer, Michael F.}, File = {Some structural results on Dn-finite functions - j.aam.2020.102027.pdf}, ISSN = {0196-8858}, Journal = {Advances in Applied Mathematics}, Keywords = {Holonomic functions, Closure properties, Differential Galois theory, Algorithms}, Pages = {102027}, Title = {Some structural results on Dn-finite functions}, URL = {https://www.sciencedirect.com/science/article/pii/S0196885820300300}, Volume = {117}, Year = {2020}, bdsk-url-1 = {https://www.sciencedirect.com/science/article/pii/S0196885820300300}, bdsk-url-2 = {https://doi.org/10.1016/j.aam.2020.102027}, date-added = {2022-07-01 12:43:06 +0200}, date-modified = {2022-07-01 12:43:06 +0200}, doi = {10.1016/j.aam.2020.102027} }