Question

Applications of analytic functions in engineering field

Answer 1

Electrostatics is the solution of Laplace’s equation, which in two dimensions is also the condition for analyticity of complex-valued functions. There is a considerable body of tricks for solving two-dimensional electrostatics problems by mapping them into simpler problems by use of conformal maps, which map analytic functions on one complex domain to analytic functions on another by composition with another analytic function.