Relative To The Real/complex Numbers
- Analytic function: Can be defined locally by a convergent power series.
- Arithmetic function: A function from the positive integers into the complex numbers.
- Differentiable function: Has a derivative.
- Smooth function: Has derivatives of all orders.
- Holomorphic function: Complex valued function of a complex variable which is differentiable at every point in its domain.
- Meromorphic function: Complex valued function that is holomorphic everywhere, apart from at isolated points where there are poles.
- Entire function: A holomorphic function whose domain is the entire complex plane.
Read more about this topic: List Of Types Of Functions
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