Gegenbauer differential equation
GPTKB entity
Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
partial differential equations
|
| gptkbp:alsoKnownAs |
ultraspherical differential equation
|
| gptkbp:application |
potential theory
spherical harmonics orthogonal polynomials |
| gptkbp:field |
gptkb:mathematics
mathematical physics |
| gptkbp:hasGeneralForm |
(1-x^2)y'' - (2b1+1)xy' + n(n+2b1)y = 0
|
| gptkbp:hasSpecialCase |
gptkb:hypergeometric_differential_equation
|
| https://www.w3.org/2000/01/rdf-schema#label |
Gegenbauer differential equation
|
| gptkbp:namedAfter |
gptkb:Leopold_Gegenbauer
|
| gptkbp:order |
second
|
| gptkbp:parameter |
n
b1 |
| gptkbp:reduces |
gptkb:Legendre_differential_equation
Chebyshev differential equation |
| gptkbp:solvedBy |
gptkb:Gegenbauer_polynomials
|
| gptkbp:type |
homogeneous
linear |
| gptkbp:bfsParent |
gptkb:Gegenbauer_polynomials
|
| gptkbp:bfsLayer |
8
|