## Function of a Complex Variables

A complex function of a function of a complex variables is a function whose domain and range are subsets of the complex plane. This is also expressed by saying that the independent variable and the dependent variable both are complex numbers. If f(x) is analytic everywhere in the complex plane, it is called entire function. To distinguish analytic functions from generic complex-valued functions of complex variable, we use the notation f(x) for the former and …