IsHolomorphic

$$f(z) \text{ is holomorphic at } z = c$$

Represents the predicate that $f(z)$ is holomorphic in some open neighborhood of the point $c$.

$$f(z) \text{ is holomorphic on } z \in S$$

Represents the predicate that $f(z)$ is holomorphic in some open neighborhood of every point in the set $S$.

$$f(z) \text{ is holomorphic at } z = {\tilde \infty}$$

Represents the predicate that $f\!\left(\frac{1}{z}\right)$ is holomorphic at 0.

$$f(z) \text{ is holomorphic at } z = i \infty$$

Represents the predicate that f(z) is a periodic function on the upper half plane that is holomorphic at infinity (in the sense of modular function theory).

Last updated: 2020-03-06 00:22:16