The author obtains an asymptotic representation of the general solution of the second Painlevé equation in a sector of the complex z-plane. In order to solve the problem the author uses the isomonodromic deformation method developed in a previous work [A. R. Its
and the author, Isomonodromic deformation method in the theory of Painlevé equations. Lect. Notes in Math., 1191. Berlin (1986; Zbl 0592.34001
)] for the real line. The main member of the presentation is an elliptic function, while in the real case it is either a trigonometric or a hyperbolic function.