Riemann equations and provides an analytic function away from some set of isolated poles--in other words, a meromorphic function--then a lot of information about such a function can be obtained by applying some basic theorems from complex analysis.
Riemann equations and providing an analytic function (away from some reasonable number of singularities), in other words, a meromorphic function. Quite a bit of information about such a function can be obtained by applying some basic theorems from complex analysis.