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

• Autorzy: Małgorzata Stawiska
• Języki publikacji: EN

Abstrakty

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: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2010
• Tom: 50
• Numer: 2

Daty

wydano

2010

online

2017-12-18

Twórcy

autor

Małgorzata Stawiska

Identyfikatory

DOI

10.14708/cm.v50i2.5181