Manuel Kauers, Gleb Pogudin,
"Bounds for Substituting Algebraic Functions into D-finite Functions"
, Serie arXiv.org, 1-2017, ISSN: 2331-8422
Original Titel:
Bounds for Substituting Algebraic Functions into D-finite Functions
Sprache des Titels:
Englisch
Original Kurzfassung:
It is well-known that the composition of a D-finite function with an algebraic function is again D-finite. We give the first estimates for the orders and the degrees of annihilating operators for the compositions. We find that the analysis of removable singularities leads to an order-degree curve which is much more accurate than the order-degree curve obtained from the usual linear algebra reasoning.
Forschungs-