Liouville theorem with parameters: asymptotics of certain rational integrals in differential fields
Classical Analysis and ODEs
2015-03-17 v1
Abstract
We study asymptotics of integrals of certain rational functions that depend on parameters in a field of characteristic zero. We use formal power series to represent the integral and prove certain identities about its coefficients following from generalized Vandermonde determinant expansion. Our result can be viewed as a parametric version of a classical theorem of Liouville. We also give applications.
Cite
@article{arxiv.1004.5536,
title = {Liouville theorem with parameters: asymptotics of certain rational integrals in differential fields},
author = {Małgorzata Stawiska},
journal= {arXiv preprint arXiv:1004.5536},
year = {2015}
}