Meromorphic Solution of the Degenerate Third Painlev\'e Equation Vanishing at the Origin
Classical Analysis and ODEs
2019-06-19 v5
Abstract
We prove that there exists the unique odd meromorphic solution of dP3, such that , and study some of its properties, mainly: the coefficients of its Taylor expansion at the origin and asymptotic behaviour as .
Keywords
Cite
@article{arxiv.1809.00122,
title = {Meromorphic Solution of the Degenerate Third Painlev\'e Equation Vanishing at the Origin},
author = {Alexander V. Kitaev},
journal= {arXiv preprint arXiv:1809.00122},
year = {2019}
}
Comments
Final (journal) version of the paper