Meixner–Pollaczek polynomials
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
orthogonal polynomials
|
| gptkbp:definedIn |
real line
|
| gptkbp:degree |
n
|
| gptkbp:firstDescribed |
1940s
|
| https://www.w3.org/2000/01/rdf-schema#label |
Meixner–Pollaczek polynomials
|
| gptkbp:hypergeometricRepresentation |
yes
|
| gptkbp:namedAfter |
gptkb:Josef_Meixner
gptkb:Felix_Pollaczek |
| gptkbp:orthogonalOn |
(-\\infty, \\infty)
|
| gptkbp:orthogonalWithRespectTo |
weight function
|
| gptkbp:parameter |
\\lambda
\\phi |
| gptkbp:partOf |
gptkb:Askey_scheme
|
| gptkbp:recurrence |
yes
|
| gptkbp:relatedTo |
gptkb:Jacobi_polynomials
gptkb:Meixner_polynomials |
| gptkbp:usedIn |
mathematical analysis
quantum mechanics approximation theory |
| gptkbp:variant |
x
|
| gptkbp:weight |
(2\\sin\\phi/\\pi) e^{(2\\phi x)} |\\Gamma(\\lambda+ix)|^2
|
| gptkbp:bfsParent |
gptkb:Meixner_process
|
| gptkbp:bfsLayer |
5
|