Show the real and imaginary parts of f satisfy the Cauchy-Riemann, and f is not differentiable. i show the first part, but i think if Cauchy-Riemann is satisfied, then f is differentiable?
Follow Math Help Forum on Facebook and Google+
Originally Posted by szpengchao Show the real and imaginary parts of f satisfy the Cauchy-Riemann, and f is not differentiable. i show the first part, but i think if Cauchy-Riemann is satisfied, then f is differentiable? If the Cauchy-Riemann equations are satisfied and f has continuous first order partial derivatives, then f is differentiable. The C-R equations alone are not enough.
View Tag Cloud