title: Explicit solutions for transcendental equations
abstract: A simple method to formulate an explicit expression for the roots of any analytic transcendental function is presented. The method is based on Cauchy's integral theorem and uses only basic concepts of complex integration. A convenient method for numerically evaluating the exact expression is presented. The application of both the formulation and evaluation of the exact expression is illustrated for several classical root finding problems
keyphrases: transcendental equations complex integration root finding analytic functions Cauchy integral theorem singularity polynomial Fourier transform