AbstractThis paper has an expository character, however we present as well some new results and new proofs. We prove a complex version of Dirichlet's principle in the plane and give some applications ...

We offer an alternative method for evaluating Dirichlet’s integral, i.e., the integral of the sinc function sin(t)/t over the positive real line. Our method employs the fundamental theorem of calculus ...

IN the second volume of his large treatise on the integral calculus, Mr. Edwards deals with multiple integrals, gamma functions, Dirichlet integrals, definite integrals in general, contour integration ...