Schwarz reflection principle

In mathematics, applying the Schwarz reflection principle is a way to extend the domain of definition of an analytic function of a complex variable, F, which is defined on the upper half-plane and has well-defined and real number boundary values on the real axis. In that case, the putative extension of F to the rest of the complex plane is In mathematics, applying the Schwarz reflection principle is a way to extend the domain of definition of an analytic function of a complex variable, F, which is defined on the upper half-plane and has well-defined and real number boundary values on the real axis. In that case, the putative extension of F to the rest of the complex plane is