Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
li₂(x)
|
| gptkbp:appearsIn |
analytic number theory
|
| gptkbp:defines |
li₂(x) = ∫₀ˣ (−ln(1−t)/t) dt
|
| gptkbp:field |
gptkb:mathematics
complex analysis number theory |
| gptkbp:hasIntegralRepresentation |
li₂(x) = −∫₀ˣ ln(1−t)/t dt
|
| gptkbp:hasSeriesExpansion |
li₂(x) = Σ_{k=1}^∞ x^k / k^2
|
| gptkbp:hasSingularityAt |
x=1
|
| gptkbp:hasSpecialCase |
gptkb:polylogarithm
|
| https://www.w3.org/2000/01/rdf-schema#label |
The Logarithmic Integral II
|
| gptkbp:isAnalytic |
true
|
| gptkbp:isMultivalued |
true
|
| gptkbp:notation |
li₂(x)
|
| gptkbp:relatedTo |
gptkb:Euler–Mascheroni_constant
gptkb:Riemann_zeta_function dilogarithm logarithmic integral function |
| gptkbp:usedIn |
mathematical analysis
|
| gptkbp:variant |
x
|
| gptkbp:bfsParent |
gptkb:Paul_Koosis
|
| gptkbp:bfsLayer |
7
|