Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
solving Laplace's equation in the disk
|
| gptkbp:category |
special functions
|
| gptkbp:describes |
solution to Dirichlet problem for the disk
|
| gptkbp:domain |
gptkb:unit_disk
|
| gptkbp:field |
gptkb:mathematics
|
| gptkbp:form |
P_r(θ) = (1 - r^2) / (1 - 2r cos θ + r^2)
|
| gptkbp:generalizes |
gptkb:higher-dimensional_Poisson_kernel
|
| https://www.w3.org/2000/01/rdf-schema#label |
Poisson kernel
|
| gptkbp:namedAfter |
gptkb:Siméon_Denis_Poisson
|
| gptkbp:property |
integrates to 1 over the unit circle
positive function reproduces harmonic functions |
| gptkbp:relatedTo |
gptkb:Poisson_integral_formula
|
| gptkbp:used_in |
complex analysis
harmonic analysis potential theory |
| gptkbp:bfsParent |
gptkb:Siméon_Denis_Poisson
|
| gptkbp:bfsLayer |
6
|