What is the difference between:
a) a complex differentiable at a point $z$ or
b) a holomorphic at a point $z$,
for a function $f(z)$, on the complex plane?
It was my understanding that holomorphicity is just stronger than differentiability i.e. everywhere in the neighbourhood of that point is complex differentiable.
How do you go about showing where a complex function is either complex differentiable or holomorphic?
Any help would be greatly appreciated!