Consider the function defined by . Show that satisfies the Cauchy-Riemann equations at the origin yet it is not holomorphic at zero.
I can show that it satisfies the C-R equations but unsure about showing it is not holomorphic at zero. Please help?
Consider the function defined by . Show that satisfies the Cauchy-Riemann equations at the origin yet it is not holomorphic at zero.
I can show that it satisfies the C-R equations but unsure about showing it is not holomorphic at zero. Please help?
A function, of a complex variable, is "holomorphic" at a point if and only if it is differentable there. What xxp9 did is show that the limit defining the derivative does not exist by showing that the limits, as z approaches 0 from two different directions, give different resuts