ABSTRACT
The question of where an equation like f(z) = 0 is satisfied in the complex plane, when f(z) is an analytic function, is a major subject in complex variable theory. This problem often arises in engineering and scientific applications. A value of z for which the equation is satisfied is said to be a “zero” of f(z). Similarly, we must pay attention to the related problem of where g(z) = 1/f(z) possesses pole singularities because of the vanishing of f(z). Some of these questions are directly resolved in MATLAB®, while others require the more sophisticated technique called the principle of the argument.
