| rdfs:label |
"Neumann polynomials"@en
|
| schema:description | "polynomial sequence"@en |
|
schema:date |
"2026-09-06T13:25:38+00:00"^^xsd:dateTime |
| schema:version | 2541091516 |
| wikibase:identifiers | 2 |
| wikibase:sitelinks | 5 |
| wikibase:statements | 8 |
| p:P138 | wd:statement/Q7001952-451c1cf8-4a4f-62b1-33e2-aeee815486f6 |
| p:P2283 | wd:statement/Q7001952-20ae5af7-433d-145a-03bd-c27f568defba |
| p:P2534 | wd:statement/Q7001952-6eca4198-499b-818d-2a14-16a35f31d65c |
| p:P2812 | wd:statement/Q7001952-6BE73C86-ECC7-4383-AE84-440A79AD461B |
| p:P31 | wd:statement/Q7001952-59b4c656-4f40-2d04-d9ea-941c6fd5cf22 |
| wd:statement/Q7001952-eb027bfc-47d5-a4cc-4f13-603ec4075c9f | |
| p:P6104 | wd:statement/Q7001952-49C06689-E4E3-47E2-AE20-B2086F7BB184 |
| p:P646 | wd:statement/Q7001952-A028A549-2D13-4146-8BA7-FB1311BD378C |
| wdt:P138 | Carl Neumann |
| wdt:P2283 | Bessel function |
| 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"><msubsup><mi>O</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>α</mi><mo stretchy="false">)</mo></mrow></mrow></msubsup><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>α</mi><mo stretchy="false">+</mo><mi>n</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>α</mi></mrow></mrow></mfrac></mrow><mstyle displaystyle="true" scriptlevel="0"><munderover><mo stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo stretchy="false">=</mo><mn>0</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">⌊</mo><mi>n</mi><mo lspace="0" rspace="0">/</mo><mn>2</mn><mo stretchy="false">⌋</mo></mrow></mrow></munderover></mstyle><mo stretchy="false">(</mo><mo stretchy="false">−</mo><mn>1</mn><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">−</mo><mi>k</mi></mrow></mrow></msup><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><mi>k</mi><mo stretchy="false">)</mo><mo stretchy="false">!</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo stretchy="false">!</mo></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="OPEN"><mo maxsize="1.2em" minsize="1.2em">(</mo></mrow><mfrac linethickness="0"><mrow><mo stretchy="false">−</mo><mi>α</mi></mrow><mrow><mi>n</mi><mo stretchy="false">−</mo><mi>k</mi></mrow></mfrac><mrow data-mjx-texclass="CLOSE"><mo maxsize="1.2em" minsize="1.2em">)</mo></mrow></mrow><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">+</mo><mn>1</mn><mo stretchy="false">−</mo><mn>2</mn><mi>k</mi></mrow></mrow></msup></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| wdt:P2812 | "NeumannPolynomial" |
| wdt:P31 | polynomial sequence |
| mathematical concept | |
| wdt:P6104 | WikiProject Mathematics |
| wdt:P646 | "/m/07kjhfd" |
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