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Commentationes Mathematicae

Tytuł artykułu

Liouville theorem with parameters: asymptotics of certain rational integrals in differential fields

Autorzy Stawiska, M. 
Treść / Zawartość
Warianty tytułu
Języki publikacji EN
EN We study asymptotics of integrals of certain rational functions that depend on parameters in a field K of characteristic zero. We use formal power series to represent the integral and prove certain identities about coefficients of this series following from the generalized Vandermonde determinant expansion. Our result can be viewed as a parametric version of a classical theorem of Liouville. We also give some applications.
Słowa kluczowe
EN integrals of rational functions   Vandermonde determinant   differential fields   Liouville theorem  
Wydawca Polskie Towarzystwo Matematyczne
Czasopismo Commentationes Mathematicae
Rocznik 2010
Tom Vol. 50, [Z] 2
Strony 155--159
Opis fizyczny Bibliogr. 8 poz.
autor Stawiska, M.
  • Department of Mathematics, University of Kansas 1460 Jayhawk Blvd., Lawrence, KS 66045, USA,
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[VS] G. D. Villa Salvador, Topics in the theory of algebraic function fields. Mathematics: Theory & Applications. Birkh¨auser Boston, Inc., Boston, MA, 2006.
[Tr] B. Trager, Algebraic factoring and rational function integration, Proceedings of the 1976 ACM Symposium on Symbolic and Algebraic Computation, manuscript
Kolekcja BazTech
Identyfikator YADDA bwmeta1.element.baztech-article-BUS8-0012-0006