Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
Power series
|
| gptkbp:describes |
Convergence of power series at boundary
|
| gptkbp:field |
gptkb:Mathematics
Complex analysis |
| https://www.w3.org/2000/01/rdf-schema#label |
Abel's theorem
|
| gptkbp:influenced |
gptkb:Summability_theory
Analytic continuation |
| gptkbp:namedAfter |
gptkb:Niels_Henrik_Abel
|
| gptkbp:publishedIn |
1826
|
| gptkbp:relatedTo |
gptkb:Abel_summation
gptkb:Cauchy-Hadamard_theorem gptkb:Tauberian_theorems |
| gptkbp:state |
If a power series converges at a boundary point, then the sum approaches the value at that point as the variable approaches the boundary point from within the circle of convergence
|
| gptkbp:bfsParent |
gptkb:Niels_Henrik_Abel
|
| gptkbp:bfsLayer |
5
|