@article{BagderinaTarkhanov2015,
  author    = {Bagderina, Yulia Yu. and Tarkhanov, Nikolai Nikolaevich},
  title     = {Solution of the equivalence problem for the third Painleve equation},
  series = {Journal of mathematical physics},
  volume    = {56},
  journal   = {Journal of mathematical physics},
  number    = {1},
  publisher = {American Institute of Physics},
  address   = {Melville},
  issn      = {0022-2488},
  doi       = {10.1063/1.4905383},
  pages     = {15},
  year      = {2015},
  abstract  = {We find necessary conditions for a second order ordinary differential equation to be equivalent to the Painleve III equation under a general point transformation. Their sufficiency is established by reduction to known results for the equations of the form y ' = f (x, y). We consider separately the generic case and the case of reducibility to an autonomous equation. The results are illustrated by the primary resonance equation.},
  language  = {en}
}