Abstract: A novel decomposition technique of the forward and backward propagating waves is presented. This technique exploits the Cauchy integral equation based on Clifford algebra application which ...

The classical Poincaré-Bertrand transposition formula for the inversion of the order of integration in repeated Cauchy-type integrals is generalized in accordance with a new interpretation of ...

ABSTRACT: The Cauchy integral formula expresses the value of a function f(z), which is analytic in a simply connected domain D, at any point z0 interior to a simple closed contour C situated in D in ...