Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:convergesTo |
|z|<1
|
| gptkbp:field |
gptkb:mathematics
analysis |
| gptkbp:generalizes |
binomial series
|
| gptkbp:hasGeneralTerm |
(a)_n (b)_n / (c)_n n! z^n
|
| gptkbp:hasSpecialCase |
gptkb:geometric_series
binomial series |
| https://www.w3.org/2000/01/rdf-schema#label |
hypergeometric series
|
| gptkbp:introduced |
gptkb:Carl_Friedrich_Gauss
|
| gptkbp:notation |
_2F_1(a,b;c;z)
|
| gptkbp:parameter |
a
b c |
| gptkbp:relatedTo |
gptkb:hypergeometric_function
gptkb:Pochhammer_symbol gptkb:confluent_hypergeometric_series gptkb:generalized_hypergeometric_series |
| gptkbp:usedIn |
mathematical physics
combinatorics special functions |
| gptkbp:bfsParent |
gptkb:Kummer's_transformation
gptkb:hypergeometric_distribution |
| gptkbp:bfsLayer |
6
|