Bochner–Martinelli formula
generalization of the Cauchy integral formula to functions of several complex variables
| rdfs:label |
"Bochner–Martinelli formula"@en
|
|
skos:alt |
"Bochner–Martinelli–Koppelman formula"@en
|
| schema:description |
"generalization of the Cauchy integral formula to functions of several complex variables"@en
|
|
schema:date |
"2026-05-29T21:57:35+00:00"^^xsd:dateTime |
| schema:version | 2499322182 |
| wikibase:identifiers | 5 |
| wikibase:sitelinks | 3 |
| wikibase:statements | 9 |
| p:P13591 | wd:statement/Q4936246-E14CA5A5-D6C2-4676-813C-C4902053EE8D |
| p:P138 | wd:statement/Q4936246-07eeda4b-46fa-4403-3ef3-0af98472f95f |
| wd:statement/Q4936246-c271bfad-4296-9984-0ede-2be2a44b0463 | |
| p:P244 | wd:statement/Q4936246-3E5CEF52-FC09-45F6-A314-12861C525EC0 |
| p:P2534 | wd:statement/Q4936246-ded5e008-465e-e4f7-84c7-a137ffe50e43 |
| p:P31 | wd:statement/Q4936246-1b29c23e-476a-1e53-05bf-143c21204e26 |
| p:P646 | wd:statement/Q4936246-C0DABED0-2A8D-443B-9D3C-9C91EB32E840 |
| p:P7554 | wd:statement/Q4936246-f21fbb10-49cc-0f92-f57f-a9382232fda8 |
| p:P8189 | wd:statement/Q4936246-F5302DEF-D9C8-4F11-B7E8-668905242E6C |
|
p:direct- |
<http:/ |
| wdt:P13591 | "concept/d0c01bd6-71e9-48ba-b19f-d14f54f168d3" |
| wdt:P138 | Salomon Bochner |
| Enzo Martinelli | |
| wdt:P244 | "sh95006204" |
| wdt:P2534 | "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>f</mi><mo stretchy="false">(</mo><mi>z</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><munder><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>D</mi></mrow></mrow></munder><mi>f</mi><mo stretchy="false">(</mo><mi>ζ</mi><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>n</mi><mo stretchy="false">−</mo><mn>1</mn><mo stretchy="false">)</mo><mo stretchy="false">!</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>2</mn><mi>π</mi><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">i</mi></mrow><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msup></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">|</mo><mi>z</mi><mo stretchy="false">−</mo><mi>ζ</mi><msup><mo stretchy="false">|</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>n</mi></mrow></mrow></msup></mrow></mrow></mfrac></mrow><munder><mo stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">≤</mo><mi>j</mi><mo stretchy="false">≤</mo><mi>n</mi></mrow></mrow></munder><mo stretchy="false">(</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>ζ</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo stretchy="false">−</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>z</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo stretchy="false">)</mo><mspace width="0.167em"></mspace><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>ζ</mi><mo>¯</mo></mover></mrow></mrow><mn>1</mn><mo stretchy="false">∧</mo><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><msub><mi>ζ</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">∧</mo><mo stretchy="false">⋯</mo><mo stretchy="false">∧</mo><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><msub><mi>ζ</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo stretchy="false">∧</mo><mo stretchy="false">⋯</mo><mo stretchy="false">∧</mo><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>ζ</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">∧</mo><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><msub><mi>ζ</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| wdt:P31 | mathematical concept |
| wdt:P646 | "/m/0g54nq5" |
| wdt:P7554 | "Bochner-Martinelli_representation_formula" |
| wdt:P8189 | "987007553912105171" |
Download as: