Teorema integrale di Cauchy: differenze tra le versioni

:<math>\oint_{\gamma} f(z) \ dz = \oint_{\gamma} [u(x,y)dx - v(x,y)dy] + i \oint_{\gamma} [v(x,y)dx + u(x,y)dy]</math>

 

 

:<math>\oint_{\gamma} f(z) \ dz = \iint_{E} \left [- \frac {\partial v(x,y)} {\partial x} - \frac {\partial u(x,y)} {\partial y} \right] \ dx \ dy + i \cdot \iint_{E} \left [ \frac {\partial u(x,y)} {\partial x} - \frac {\partial v(x,y)} {\partial y} \right] \ dx \ dy = 0</math>;