摘要 : In this paper, we obtain the precise form of meromorphic functions u(z(1), z(2)) in C-2 when the linearly independent operators au(z1) + bu(z2) and cu(z1) + du(z2 )have a common right factor with constants a, b, c, d. We also desc... 展开 In this paper, we obtain the precise form of meromorphic functions u(z(1), z(2)) in C-2 when the linearly independent operators au(z1) + bu(z2) and cu(z1) + du(z2 )have a common right factor with constants a, b, c, d. We also describe entire solutions of the partial differential equationF(u(z1), u(z2), ... , u(zn)) = 1in C-n under a more general definition in the sense of the prime functions. In addition, our results generalize the recent results in Li [22, 27]. 收起