Hadamard's theorem (entire functions)
GPTKB entity
Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Hadamard_factorization_theorem
|
| gptkbp:appliesTo |
entire functions of finite order
|
| gptkbp:concerns |
entire functions
|
| gptkbp:field |
complex analysis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hadamard's theorem (entire functions)
|
| gptkbp:implies |
entire functions are determined by their zeros up to an exponential factor
|
| gptkbp:namedAfter |
gptkb:Jacques_Hadamard
|
| gptkbp:publishedIn |
gptkb:Acta_Mathematica
|
| gptkbp:relatedTo |
gptkb:Weierstrass_factorization_theorem
|
| gptkbp:state |
Every entire function of finite order can be represented as a product involving its zeros and an exponential function.
|
| gptkbp:usedIn |
theory of the Riemann zeta function
|
| gptkbp:yearProposed |
1893
|
| gptkbp:bfsParent |
gptkb:Jacques_Hadamard
|
| gptkbp:bfsLayer |
6
|