Nevanlinna function
in complex analysis, a holomorphic function on the upper half plane with a nonnegative imaginary part
| rdfs:label |
"Nevanlinna function"@en
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skos:alt |
"Herglotz function"@en |
| "Pick function"@en | |
| schema:description |
"in complex analysis, a holomorphic function on the upper half plane with a nonnegative imaginary part"@en
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schema:date |
"2026-03-14T17:33:42+00:00"^^xsd:dateTime |
| schema:version | 2471898041 |
| wikibase:identifiers | 2 |
| wikibase:sitelinks | 1 |
| wikibase:statements | 7 |
| p:P138 | wd:statement/Q7003746-74888389-4656-281e-7b87-df41d893e440 |
| p:P2534 | wd:statement/Q7003746-56f6b9f1-420a-8977-16d0-ebee83059620 |
| p:P279 | wd:statement/Q7003746-eef07618-4813-f757-625d-b40d9a50af9f |
| p:P31 | wd:statement/Q7003746-4d0f1b5b-4b95-9a50-3779-da81a713e832 |
| p:P6366 | wd:statement/Q7003746-7F49A56D-44A5-4D8C-A4D9-9F663A70EFBF |
| p:P646 | wd:statement/Q7003746-A07388CE-F2D7-4E08-8C25-68BF42F0E286 |
| p:P7235 | wd:statement/Q7003746-238c82b9-4504-23eb-28ed-2749a6585f22 |
|
p:direct- |
<https:/ |
| wdt:P138 | Rolf Nevanlinna |
| wdt:P2534 | "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi><mo stretchy="false">(</mo><mi>z</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mi>C</mi><mo stretchy="false">+</mo><mi>D</mi><mi>z</mi><mo stretchy="false">+</mo><msub><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>ℝ</mi></mrow></mrow></msub><mo maxsize="2.047em" minsize="2.047em">(</mo><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"><mi>λ</mi><mo stretchy="false">−</mo><mi>z</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>λ</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mo stretchy="false">+</mo><msup><mi>λ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow><mo maxsize="2.047em" minsize="2.047em">)</mo><mo data-mjx-texclass="OP" mathvariant="normal">d</mo><mo>⁡</mo><mi>μ</mi><mo stretchy="false">(</mo><mi>λ</mi><mo stretchy="false">)</mo><mo>,</mo><mspace width="1em"></mspace><mi>z</mi><mo stretchy="false">∈</mo><mrow data-mjx-texclass="ORD"><mi>ℍ</mi></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| wdt:P279 | holomorphic function |
| wdt:P31 | mathematical concept |
| wdt:P6366 | "2778990664" |
| wdt:P646 | "/m/0h_93ty" |
| wdt:P7235 | "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi>ℍ</mi></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
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