Ostrowski–Hadamard gap theorem
GPTKB entity
Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
power series with large gaps in exponents
|
| gptkbp:concerns |
power series
gap series |
| gptkbp:field |
complex analysis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Ostrowski–Hadamard gap theorem
|
| gptkbp:namedAfter |
gptkb:Jacques_Hadamard
gptkb:Alexander_Ostrowski |
| gptkbp:publishedIn |
early 20th century
|
| gptkbp:relatedTo |
Fabry gap theorem
|
| gptkbp:state |
If the exponents in a power series grow sufficiently rapidly, then the circle of convergence is a natural boundary.
|
| gptkbp:bfsParent |
gptkb:Alexander_Ostrowski
|
| gptkbp:bfsLayer |
6
|