On weighted solutions of $d$-equation in the complex plane $\mathbb C$

An equation $\partial f(z)/\partial \overline{z} = g(z)$ in the complex plane $\mathbb C$ is considered. For functions $g \in C^k(\mathbb C)$ ($k = 1,2,3,\dots, \infty$) satisfying certain growth condition at infinity, solutions are given in an explicit form. Moreover, the solutions are estimated at infinity.