Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
holomorphic functions
|
| gptkbp:field |
complex analysis
|
| gptkbp:hasEquation |
\\sum_{n=0}^\\infty f(n) = \\int_0^\\infty f(x) dx + \\frac{f(0)}{2} + i \\int_0^\\infty \\frac{f(it) - f(-it)}{e^{2\\pi t} - 1} dt
|
| https://www.w3.org/2000/01/rdf-schema#label |
Abel–Plana formula
|
| gptkbp:namedAfter |
gptkb:Giovanni_Antonio_Amedeo_Plana
gptkb:Niels_Henrik_Abel |
| gptkbp:publishedIn |
19th century
|
| gptkbp:relatedTo |
integral representation
summation of series |
| gptkbp:usedFor |
analytic continuation
evaluation of sums |
| gptkbp:bfsParent |
gptkb:Niels_Henrik_Abel
|
| gptkbp:bfsLayer |
5
|