polylogarithm

special mathematical function
rdfs:label
"polylogarithm"@en
skos:altLabel
"Jonquière's function"@en
schema:description
"special mathematical function"@en
schema:dateModified "2026-08-10T06:54:07+00:00"^^xsd:dateTime
schema:version 2529508980
wikibase:identifiers 7
wikibase:sitelinks 20
wikibase:statements 15
p:P10283 wd:statement/Q1238449-CA79FB03-D5A8-4C30-BDC6-A39A1590E532
p:P10969 wd:statement/Q1238449-6391312f-41c0-fd8b-342f-11d4ea6f7ed8
p:P18 wd:statement/Q1238449-f6627d75-4464-2c62-2943-7af79504350f
p:P1889 wd:statement/Q1238449-45152ece-4c30-f236-93bb-5916114444a4
wd:statement/Q1238449-9f5c8903-4e3f-61e1-ff08-298732e56b19
p:P2534 wd:statement/Q1238449-8a61792c-4fbe-e18a-b969-18ea16ce2c4a
p:P279 wd:statement/Q1238449-4b6231e9-43cd-15d5-b044-5b39f8fcfd60
p:P2812 wd:statement/Q1238449-518A4F33-4EB1-42D3-9DAE-18218B240B14
p:P373 wd:statement/Q1238449-5937103F-45C5-4881-8350-34DF79945D62
p:P4215 wd:statement/Q1238449-F9306E24-FE1F-4993-A322-FE27FDCC47A2
p:P6104 wd:statement/Q1238449-175325A1-6569-4DA8-9D77-E205C84B04A0
p:P6366 wd:statement/Q1238449-BA1B1620-6E59-4479-8818-211AB0776153
p:P646 wd:statement/Q1238449-2D39B749-95BF-45DB-B573-9B549ED35A56
p:P6781 wd:statement/Q1238449-f92a0d6e-496f-2698-824e-f86b9d9b5fb3
p:P8885 wd:statement/Q1238449-83b0c914-4549-f317-0da9-507b805a727a
p:direct-normalized/P6366 <https://makg.org/entity/186934003>
wdt:P10283 "C186934003"
wdt:P10969 "<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"><msub><mi data-mjx-texclass="OP" mathvariant="normal">Li</mi><mrow data-mjx-texclass="ORD"><mi>s</mi></mrow></msub><mo stretchy="false">(</mo><mi>z</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mstyle displaystyle="true" scriptlevel="0"><munderover><mo stretchy="false">&#x2211;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">&#x221E;</mi></mrow></munderover></mstyle><mfrac><mrow><msup><mi>z</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msup></mrow><mrow><msup><mi>k</mi><mrow data-mjx-texclass="ORD"><mi>s</mi></mrow></msup></mrow></mfrac><mo stretchy="false">=</mo><mi>z</mi><mo stretchy="false">+</mo><mfrac><mrow><msup><mi>z</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow><msup><mn>2</mn><mrow data-mjx-texclass="ORD"><mi>s</mi></mrow></msup></mrow></mfrac><mo stretchy="false">+</mo><mfrac><mrow><msup><mi>z</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mrow><mrow><msup><mn>3</mn><mrow data-mjx-texclass="ORD"><mi>s</mi></mrow></msup></mrow></mfrac><mo stretchy="false">+</mo><mo stretchy="false">&#x22EF;</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P18 <http://commons.wikimedia.org/wiki/Special:FilePath/Mplwp%20polylogarithm03%20complex.svg>
wdt:P1889 iterated logarithm
polylogarithmic 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"><msub><mi data-mjx-texclass="OP" mathvariant="normal">Li</mi><mrow data-mjx-texclass="ORD"><mi>s</mi></mrow></msub><mo stretchy="false">(</mo><mi>z</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mstyle displaystyle="true" scriptlevel="0"><munderover><mo stretchy="false">&#x2211;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">&#x221E;</mi></mrow></munderover></mstyle><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>z</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><msup><mi>k</mi><mrow data-mjx-texclass="ORD"><mi>s</mi></mrow></msup></mrow></mfrac></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P279 multivalued function
wdt:P2812 "Polylogarithm"
wdt:P373 "Polylogarithm"
wdt:P4215 "polylogarithm"
wdt:P6104 WikiProject Mathematics
wdt:P6366 "186934003"
wdt:P646 "/m/02fv4v"
wdt:P6781 "Definition:Polylogarithm"
wdt:P8885 "폴리로그함수"
Download as:
TurtleJSON-LDRDF/XML
data from SPARQL profile: Wikidata