On generalized Fermat Diophantine functional and partial differential equations in ${\mathbf{C}}^2$

Wei Chen, Qi Han, Qiong Wang

In this paper, we characterize meromorphic solutions $f(z_1,z_2),g(z_1,z_2)$ to the generalized Fermat Diophantine functional equations $h(z_1,z_2)f^m+k(z_1,z_2)g^n=1$ in $\mathbf{…