Geodesic
Liouville theorem with parameters: asymptotics of certain rational integrals in differential fields
Commentationes Mathematicae, Tome 50 (2010) no. 2, pp. 155-159.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

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.
DOI : 10.14708/cm.v50i2.5181
Mots-clés : integrals of rational functions, Vandermonde determinant, differential fields, Liouville theorem 
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Małgorzata Stawiska. Liouville theorem with parameters: asymptotics of certain rational integrals in differential fields. Commentationes Mathematicae, Tome 50 (2010) no. 2, pp.  155-159. doi : 10.14708/cm.v50i2.5181. http://geodesic.mathdoc.fr/articles/10.14708/cm.v50i2.5181/

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