A catalogue of analytic functions.

We define functions according to the following requirements:

- The function should be analytic on its domain.
- The restriction to the reals of the defined function should be the corresponding real function; e.g., we define an exponential such that, if , then is the well-known exponential of a real number.

- Exponential in basis .
- Trigonometric functions.
- Hyperbolic functions.
- The logarithm of a complex number.
- Analyticity of the logarithmic function.
- Complex exponentials.
- Inverse trigonometric functions.
- Inverse hyperbolic functions.

Noah Dana-Picard 2007-12-24