Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Orthogonal polynomial
|
| gptkbp:definedIn |
Generating function
Recurrence relation |
| gptkbp:differential |
x^2 y'' + (2x+2) y' - n(n+1) y = 0
|
| gptkbp:field |
gptkb:Mathematics
gptkb:Mathematical_analysis Special functions |
| gptkbp:generalizes |
gptkb:Generalized_Bessel_polynomials
|
| gptkbp:hasSpecialCase |
gptkb:Hypergeometric_function
|
| https://www.w3.org/2000/01/rdf-schema#label |
Bessel Polynomials
|
| gptkbp:introducedIn |
19th century
|
| gptkbp:namedAfter |
gptkb:Friedrich_Bessel
|
| gptkbp:orthogonalOn |
[0, ∞)
|
| gptkbp:orthogonalWithRespectTo |
weight function e^{-2x}
|
| gptkbp:relatedTo |
gptkb:Laguerre_polynomials
gptkb:Bessel_functions gptkb:Hermite_polynomials |
| gptkbp:sequenceNotation |
y_n(x)
|
| gptkbp:usedIn |
gptkb:signal_processing
Approximation theory Filter design |
| gptkbp:bfsParent |
gptkb:Emil_Grosswald
|
| gptkbp:bfsLayer |
7
|