Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:software
|
| gptkbp:alsoKnownAs |
gptkb:polylogarithm
|
| gptkbp:application |
number theory
physics quantum statistics |
| gptkbp:citation |
Jonquière, A. (1889). Bulletin de la Société Mathématique de France
|
| gptkbp:defines |
Li_s(z) = sum_{k=1}^∞ z^k / k^s
|
| gptkbp:field |
gptkb:mathematics
complex analysis |
| gptkbp:hasSpecialCase |
gptkb:Riemann_zeta_function_(z=1)
dilogarithm (s=2) trilogarithm (s=3) |
| https://www.w3.org/2000/01/rdf-schema#label |
Jonquière's function
|
| gptkbp:namedAfter |
gptkb:Alphonse_Jonquière
|
| gptkbp:notation |
Li_s(z)
|
| gptkbp:property |
analytic continuation possible
related to Bose-Einstein integral related to Fermi-Dirac integral related to Hurwitz zeta function |
| gptkbp:variant |
s (complex parameter)
z (complex variable) |
| gptkbp:bfsParent |
gptkb:polylogarithm
|
| gptkbp:bfsLayer |
6
|