Growth of the first, the second and the fourth Painleve transcendents

For the first Painleve equation, it is proved that every meromorphic solution satisfies T(r, w) = O(r(5)/(2)). In showing this estimate, we employ two types of auxiliary function, one of which is crucial in the proof of the Painleve property. Our method is also applicable to the second (resp. the fourth) Painleve transcendents, and we obtain T(r, w) = O(r(3)) (resp. O(r(4))).