Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
holomorphic functions
open subsets of the complex plane |
| gptkbp:field |
complex analysis
|
| gptkbp:generalizes |
gptkb:Weierstrass_approximation_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Runge's theorem
|
| gptkbp:namedAfter |
gptkb:Carl_Runge
|
| gptkbp:relatedTo |
gptkb:Weierstrass_approximation_theorem
gptkb:Mergelyan's_theorem |
| gptkbp:sentence |
Every holomorphic function on an open subset of the complex plane can be approximated uniformly on compact subsets by rational functions with poles outside the set.
|
| gptkbp:yearProposed |
1885
|
| gptkbp:bfsParent |
gptkb:Carl_Runge
|
| gptkbp:bfsLayer |
5
|