entire function
An entire function
is a function
f:ℂ⟶ℂ which is holomorphic everywhere on the complex domain ℂ.
For example, a polynomial is holomorphic everywhere, as is the exponential function
. The function z↦1/z is not holomorphic at zero, so it is not entire; it is meromorphic.
| Title | entire function |
|---|---|
| Canonical name | EntireFunction |
| Date of creation | 2013-03-22 12:04:39 |
| Last modified on | 2013-03-22 12:04:39 |
| Owner | djao (24) |
| Last modified by | djao (24) |
| Numerical id | 10 |
| Author | djao (24) |
| Entry type | Definition |
| Classification | msc 30D20 |
| Synonym | entire |