Consider the complex function
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.