holomorphic (original) (raw)
More generally, if Ω⊂ℂn is a domain, then a function f:Ω→ℂ is said to be holomorphic if f is holomorphic in each of the variables. The class of all holomorphic functions on Ω is usually denoted by 𝒪(Ω).
| Title | holomorphic |
|---|---|
| Canonical name | Holomorphic |
| Date of creation | 2013-03-22 12:04:33 |
| Last modified on | 2013-03-22 12:04:33 |
| Owner | djao (24) |
| Last modified by | djao (24) |
| Numerical id | 12 |
| Author | djao (24) |
| Entry type | Definition |
| Classification | msc 30D20 |
| Classification | msc 32A10 |
| Synonym | holomorphic function |
| Synonym | regular function |
| Synonym | complex differentiable |
| Related topic | CauchyRiemannEquations |
| Related topic | Analytic |