analytic complex function

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Pulkit Varshney

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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 ?
 

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
 

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