Applying methods of plane Power Geometry we are looking for the asymptotic expansions of solutions to the fifth Painlevé equation in the neighbourhood of its singular and nonsingular points.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc97-0-8, author = {Anastasia Parusnikova}, title = {Asymptotic expansions of solutions to the fifth Painlev\'e equation in neighbourhoods of singular and nonsingular points of the equation}, journal = {Banach Center Publications}, volume = {97}, year = {2012}, pages = {113-124}, zbl = {1262.34102}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc97-0-8} }
Anastasia Parusnikova. Asymptotic expansions of solutions to the fifth Painlevé equation in neighbourhoods of singular and nonsingular points of the equation. Banach Center Publications, Tome 97 (2012) pp. 113-124. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc97-0-8/