Jorge L. deLyra1
Department of Mathematical Physics,
Physics Institute,
University of São Paulo
August 19, 2018
In the context of the complex-analytic structure within the open unit
disk, that was established in a previous paper, here we establish a
simple generalization of the Cauchy-Goursat theorem of complex analytic
functions. We do this first for the case of inner analytic functions,
and then generalize the result to all analytic functions. We thus show
that the Cauchy-Goursat theorem holds even if the complex function has
isolated singularities located on the integration contour, so long
as these are all integrable ones.
