Weierstrass elliptic function
GPTKB entity
Statements (26)
Predicate | Object |
---|---|
gptkbp:instanceOf |
elliptic function
|
gptkbp:category |
gptkb:software
|
gptkbp:definedIn |
gptkb:complex_plane
|
gptkbp:differential |
(℘')^2 = 4℘^3 - g2℘ - g3
|
gptkbp:field |
gptkb:mathematics
complex analysis |
gptkbp:hasPole |
order 2
|
gptkbp:hasPoleAt |
lattice points
|
gptkbp:hasSeriesExpansion |
gptkb:Laurent_series
|
https://www.w3.org/2000/01/rdf-schema#label |
Weierstrass elliptic function
|
gptkbp:introducedIn |
19th century
|
gptkbp:inverseFunction |
gptkb:integral
|
gptkbp:meromorphic |
true
|
gptkbp:namedAfter |
gptkb:Karl_Weierstrass
|
gptkbp:notation |
℘
|
gptkbp:parameter |
g2
g3 |
gptkbp:period |
doubly periodic
|
gptkbp:relatedTo |
gptkb:elliptic_curve
Jacobi elliptic functions |
gptkbp:satisfies |
partial differential equations
|
gptkbp:usedIn |
gptkb:algebraic_geometry
modular forms theory of elliptic functions |
gptkbp:bfsParent |
gptkb:Jacobi_theta_function
|
gptkbp:bfsLayer |
6
|