Expansions and asymptotic forms of solutions
to the fifth Painleve equation near infinity
We consider the fifth Painlev´e equation in a neighborhood of infinity. By means of two-dimensional power geometry we have calculated all exponential expansions of its solutions. By means of three-dimensional power geometry we have calculated some power-elliptic and power-periodic asymptotic forms of its solutions.
Painleve equations, asymptotic expansions, asymptotic forms