Statements (23)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:mathematical_concept
|
gptkbp:alsoKnownAs |
Gaussian hypergeometric function
|
gptkbp:appearsIn |
mathematical physics
partial differential equations combinatorics |
gptkbp:convergesTo |
|z|<1
|
gptkbp:definedIn |
gptkb:hypergeometric_series
|
gptkbp:domain |
complex numbers
|
gptkbp:hasSpecialCase |
gptkb:generalized_hypergeometric_function
|
https://www.w3.org/2000/01/rdf-schema#label |
2F1
|
gptkbp:namedAfter |
gptkb:Carl_Friedrich_Gauss
|
gptkbp:notation |
_2F1(a,b;c;z)
|
gptkbp:parameter |
a
b z c |
gptkbp:satisfies |
gptkb:hypergeometric_differential_equation
|
gptkbp:symmetry |
Euler transformation
Pfaff transformation |
gptkbp:usedIn |
evaluation of integrals
special functions theory |
gptkbp:bfsParent |
gptkb:Gauss_hypergeometric_function
|
gptkbp:bfsLayer |
8
|