analytic complex function

[Pulkit Varshney]

what is the relation between differentiability and analyticity of a complex function ?
what is the meaning that an analytic function is differentiable in the neibhourhood of that point ?

 

[blooz]

A function is analytic if and only if it is equal to its Taylor series in some neighborhood of every point.

---------- Post added at 21:10 ---------- Previous post was at 21:05 ----------

If a single valued function f(z) possess a unique derivative at every point of a neighborhood
of the point z0 in the region R,then f(z) is said to be analytic at that point