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

Małgorzata Stawiska. "Liouville theorem with parameters: asymptotics of certain rational integrals in differential fields." Commentationes Mathematicae 50.2 (2010): null. <http://eudml.org/doc/291812>.

@article{MałgorzataStawiska2010,
abstract = {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.},
author = {Małgorzata Stawiska},
journal = {Commentationes Mathematicae},
keywords = {integrals of rational functions; Vandermonde determinant; differential fields; Liouville theorem},
language = {eng},
number = {2},
pages = {null},
title = {Liouville theorem with parameters: asymptotics of certain rational integrals in differential fields},
url = {http://eudml.org/doc/291812},
volume = {50},
year = {2010},
}

TY - JOUR
AU - Małgorzata Stawiska
TI - Liouville theorem with parameters: asymptotics of certain rational integrals in differential fields
JO - Commentationes Mathematicae
PY - 2010
VL - 50
IS - 2
SP - null
AB - 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.
LA - eng
KW - integrals of rational functions; Vandermonde determinant; differential fields; Liouville theorem
UR - http://eudml.org/doc/291812
ER -