Bessel differential equation
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
partial differential equations
|
| gptkbp:hasApplication |
wave propagation
electromagnetic waves in cylindrical structures heat conduction in cylindrical objects |
| gptkbp:hasFeature |
x^2 y'' + x y' + (x^2 - α^2) y = 0
|
| gptkbp:hasGeneralSolution |
linear combination of J_α(x) and J_{-α}(x)
|
| gptkbp:hasSingularPoint |
x = 0
x = ∞ |
| gptkbp:hasSpecialCase |
gptkb:spherical_Bessel_equation
modified Bessel equation |
| https://www.w3.org/2000/01/rdf-schema#label |
Bessel differential equation
|
| gptkbp:isFuchsian |
true
|
| gptkbp:isHomogeneous |
true
|
| gptkbp:isMatrixGroup |
true
|
| gptkbp:namedAfter |
gptkb:Friedrich_Bessel
|
| gptkbp:order |
second
|
| gptkbp:parameter |
α (order)
|
| gptkbp:solvedBy |
Bessel function
|
| gptkbp:usedIn |
acoustics
engineering mathematical physics |
| gptkbp:bfsParent |
gptkb:modified_Bessel_differential_equation
|
| gptkbp:bfsLayer |
8
|