Question

Examine the function f(z)=z3+z is analytic or not
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Answer 1

Step-by-step explanation:

First of all, I want to get down with the definition of entire function. Based on Wikipedia, in complex analysis, an entire function, also called an integral function, is a complex-valued function that is holomorphic over the whole complex plane.

A holomorphic function to me is the same as analytic function.

I don't see the difference, so I am just wondering if we can use Cauchy–Riemann equations to do this exercise.