Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:software
|
| gptkbp:alsoKnownAs |
gptkb:confluent_hypergeometric_function
|
| gptkbp:definedIn |
gptkb:confluent_hypergeometric_differential_equation
|
| gptkbp:generalizes |
Bessel function
exponential function |
| gptkbp:hasAsymptoticExpansion |
yes
|
| gptkbp:hasIntegralRepresentation |
yes
|
| gptkbp:hasSeriesExpansion |
sum_{n=0}^∞ [(a)_n / (b)_n] * z^n / n!
|
| https://www.w3.org/2000/01/rdf-schema#label |
Kummer's function
|
| gptkbp:namedAfter |
gptkb:Ernst_Kummer
|
| gptkbp:notation |
M(a, b, z)
_1F_1(a; b; z) |
| gptkbp:parameter |
a
b z |
| gptkbp:recurrence |
yes
|
| gptkbp:relatedTo |
gptkb:hypergeometric_function
|
| gptkbp:solvedBy |
gptkb:Kummer's_equation
|
| gptkbp:usedIn |
mathematical physics
quantum mechanics statistics |
| gptkbp:bfsParent |
gptkb:Ernst_Eduard_Kummer
|
| gptkbp:bfsLayer |
5
|