Cauchy's differentiation formula
GPTKB entity
Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
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| gptkbp:appliesTo |
Holomorphic functions
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| gptkbp:field |
Complex analysis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Cauchy's differentiation formula
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| gptkbp:namedAfter |
gptkb:Augustin-Louis_Cauchy
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| gptkbp:provides |
Expression for derivatives of analytic functions
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| gptkbp:publishedIn |
Cauchy's works on complex analysis
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| gptkbp:relatedTo |
gptkb:Cauchy's_integral_formula
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| gptkbp:statedIn |
f^{(n)}(a) = n!/(2πi) ∮_C f(z)/(z-a)^{n+1} dz
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| gptkbp:usedIn |
Residue theorem
Proofs of Taylor's theorem |
| gptkbp:bfsParent |
gptkb:Cauchy's_integral_formula
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| gptkbp:bfsLayer |
8
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