<br />
<b>Deprecated</b>:  $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 127] in <b>/var/www/html/w/includes/Debug/MWDebug.php</b> on line <b>372</b><br />
@prefix rdf: <http://www.w3.org/1999/02/22-rdf-syntax-ns#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .
@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
@prefix owl: <http://www.w3.org/2002/07/owl#> .
@prefix wikibase: <http://wikiba.se/ontology#> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix schema: <http://schema.org/> .
@prefix cc: <http://creativecommons.org/ns#> .
@prefix geo: <http://www.opengis.net/ont/geosparql#> .
@prefix prov: <http://www.w3.org/ns/prov#> .
@prefix wd: <https://drmf-beta.wmflabs.org/entity/> .
@prefix data: <https://drmf-beta.wmflabs.org/wiki/Special:EntityData/> .
@prefix wds: <https://drmf-beta.wmflabs.org/entity/statement/> .
@prefix wdref: <https://drmf-beta.wmflabs.org/reference/> .
@prefix wdv: <https://drmf-beta.wmflabs.org/value/> .
@prefix wdt: <https://drmf-beta.wmflabs.org/prop/direct/> .
@prefix wdtn: <https://drmf-beta.wmflabs.org/prop/direct-normalized/> .
@prefix p: <https://drmf-beta.wmflabs.org/prop/> .
@prefix ps: <https://drmf-beta.wmflabs.org/prop/statement/> .
@prefix psv: <https://drmf-beta.wmflabs.org/prop/statement/value/> .
@prefix psn: <https://drmf-beta.wmflabs.org/prop/statement/value-normalized/> .
@prefix pq: <https://drmf-beta.wmflabs.org/prop/qualifier/> .
@prefix pqv: <https://drmf-beta.wmflabs.org/prop/qualifier/value/> .
@prefix pqn: <https://drmf-beta.wmflabs.org/prop/qualifier/value-normalized/> .
@prefix pr: <https://drmf-beta.wmflabs.org/prop/reference/> .
@prefix prv: <https://drmf-beta.wmflabs.org/prop/reference/value/> .
@prefix prn: <https://drmf-beta.wmflabs.org/prop/reference/value-normalized/> .
@prefix wdno: <https://drmf-beta.wmflabs.org/prop/novalue/> .

data:Q4838 a schema:Dataset ;
	schema:about wd:Q4838 ;
	cc:license <http://creativecommons.org/publicdomain/zero/1.0/> ;
	schema:softwareVersion "1.0.0" ;
	schema:version "34428"^^xsd:integer ;
	schema:dateModified "2020-01-01T23:46:12Z"^^xsd:dateTime ;
	wikibase:statements "12"^^xsd:integer ;
	wikibase:sitelinks "0"^^xsd:integer ;
	wikibase:identifiers "1"^^xsd:integer .

wd:Q4838 a wikibase:Item ;
	wdt:P1 "<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><merror><strong class=\"error texerror\">Failed to parse (LaTeXML (experimental; uses MathML): Invalid response (&quot;&quot;) from server &quot;http://latexml:8080/convert/&quot;:): {\\displaystyle \\FerrersQ[\\mu]{\\nu}@{\\cos@@{\\theta}}=\\pi^{1/2}2^{\\mu}(\\sin@@{\\theta})^{\\mu}\\*\\sum_{k=0}^{\\infty}\\frac{\\EulerGamma@{\\nu+\\mu+k+1}}{\\EulerGamma@{\\nu+k+\\frac{3}{2}}}\\frac{\\Pochhammersym{\\mu+\\frac{1}{2}}{k}}{k!}\\*\\cos@{(\\nu+\\mu+2k+1)\\theta}.}</strong>\n</merror></math>"^^<http://www.w3.org/1998/Math/MathML> ;
	wdt:P2 "DLMF:14.13.E2" ;
	wdt:P4 wd:Q10197,
		wd:Q10415,
		wd:Q10759,
		wd:Q10152,
		wd:Q10164,
		wd:Q10755,
		wd:Q10163,
		wd:Q11591,
		wd:Q11590,
		wd:Q11607 ;
	p:P1 wds:Q4838-1B1A0AB7-1680-4971-B7B3-1908F1FBA0FE .

wds:Q4838-1B1A0AB7-1680-4971-B7B3-1908F1FBA0FE a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P1 "<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><merror><strong class=\"error texerror\">Failed to parse (LaTeXML (experimental; uses MathML): Invalid response (&quot;&quot;) from server &quot;http://latexml:8080/convert/&quot;:): {\\displaystyle \\FerrersQ[\\mu]{\\nu}@{\\cos@@{\\theta}}=\\pi^{1/2}2^{\\mu}(\\sin@@{\\theta})^{\\mu}\\*\\sum_{k=0}^{\\infty}\\frac{\\EulerGamma@{\\nu+\\mu+k+1}}{\\EulerGamma@{\\nu+k+\\frac{3}{2}}}\\frac{\\Pochhammersym{\\mu+\\frac{1}{2}}{k}}{k!}\\*\\cos@{(\\nu+\\mu+2k+1)\\theta}.}</strong>\n</merror></math>"^^<http://www.w3.org/1998/Math/MathML> .

wd:Q4838 p:P2 wds:Q4838-47EAB783-CCBF-4C1E-B008-4F1125B61FF8 .

wds:Q4838-47EAB783-CCBF-4C1E-B008-4F1125B61FF8 a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P2 "DLMF:14.13.E2" .

wd:Q4838 p:P4 wds:Q4838-D7E7603B-B06F-4AFF-BB75-D1FF6F284424 .

wds:Q4838-D7E7603B-B06F-4AFF-BB75-D1FF6F284424 a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P4 wd:Q10197 ;
	pq:P1 "<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><merror><strong class=\"error texerror\">Failed to parse (LaTeXML (experimental; uses MathML): Invalid response (&quot;&quot;) from server &quot;http://latexml:8080/convert/&quot;:): {\\displaystyle \\EulerGamma@{\\NVar{z}}}</strong>\n</merror></math>"^^<http://www.w3.org/1998/Math/MathML> ;
	pq:P5 "C5.S2.E1.m2aadec" .

wd:Q4838 p:P4 wds:Q4838-67AD4B07-DD08-4B0D-A684-B31E76249048 .

wds:Q4838-67AD4B07-DD08-4B0D-A684-B31E76249048 a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P4 wd:Q10415 ;
	pq:P1 "<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><merror><strong class=\"error texerror\">Failed to parse (LaTeXML (experimental; uses MathML): Invalid response (&quot;&quot;) from server &quot;http://latexml:8080/convert/&quot;:): {\\displaystyle \\FerrersQ[\\NVar{\\mu}]{\\NVar{\\nu}}@{\\NVar{x}}}</strong>\n</merror></math>"^^<http://www.w3.org/1998/Math/MathML> ;
	pq:P5 "C14.S3.E2.m2adec" .

wd:Q4838 p:P4 wds:Q4838-E3273B36-7C1B-45A0-827C-DB7190D13329 .

wds:Q4838-E3273B36-7C1B-45A0-827C-DB7190D13329 a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P4 wd:Q10759 ;
	pq:P1 "<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><merror><strong class=\"error texerror\">Failed to parse (LaTeXML (experimental; uses MathML): Invalid response (&quot;&quot;) from server &quot;http://latexml:8080/convert/&quot;:): {\\displaystyle \\Pochhammersym{\\NVar{a}}{\\NVar{n}}}</strong>\n</merror></math>"^^<http://www.w3.org/1998/Math/MathML> ;
	pq:P5 "C5.S2.SS3.m1aadec" .

wd:Q4838 p:P4 wds:Q4838-A2C72B27-1D4D-4B98-958B-BF2F283A7B3E .

wds:Q4838-A2C72B27-1D4D-4B98-958B-BF2F283A7B3E a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P4 wd:Q10152 ;
	pq:P1 "<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><merror><strong class=\"error texerror\">Failed to parse (LaTeXML (experimental; uses MathML): Invalid response (&quot;&quot;) from server &quot;http://latexml:8080/convert/&quot;:): {\\displaystyle \\cpi}</strong>\n</merror></math>"^^<http://www.w3.org/1998/Math/MathML> ;
	pq:P5 "C3.S12.E1.m2aadec" .

wd:Q4838 p:P4 wds:Q4838-CBE16B8D-FC61-48B3-8FA9-6916BCAF4A1A .

wds:Q4838-CBE16B8D-FC61-48B3-8FA9-6916BCAF4A1A a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P4 wd:Q10164 ;
	pq:P1 "<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><merror><strong class=\"error texerror\">Failed to parse (LaTeXML (experimental; uses MathML): Invalid response (&quot;&quot;) from server &quot;http://latexml:8080/convert/&quot;:): {\\displaystyle \\cos@@{\\NVar{z}}}</strong>\n</merror></math>"^^<http://www.w3.org/1998/Math/MathML> ;
	pq:P5 "C4.S14.E2.m2aadec" .

wd:Q4838 p:P4 wds:Q4838-7CBE00EF-30CC-47A6-8565-F2999CDB5F80 .

wds:Q4838-7CBE00EF-30CC-47A6-8565-F2999CDB5F80 a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P4 wd:Q10755 ;
	pq:P1 "<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><merror><strong class=\"error texerror\">Failed to parse (LaTeXML (experimental; uses MathML): Invalid response (&quot;&quot;) from server &quot;http://latexml:8080/convert/&quot;:): {\\displaystyle !}</strong>\n</merror></math>"^^<http://www.w3.org/1998/Math/MathML> ;
	pq:P5 "introduction.Sx4.p1.t1.r15.m5aadec" .

wd:Q4838 p:P4 wds:Q4838-875DE4BF-DFB9-4CC8-A8B4-8C5549457201 .

wds:Q4838-875DE4BF-DFB9-4CC8-A8B4-8C5549457201 a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P4 wd:Q10163 ;
	pq:P1 "<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><merror><strong class=\"error texerror\">Failed to parse (LaTeXML (experimental; uses MathML): Invalid response (&quot;&quot;) from server &quot;http://latexml:8080/convert/&quot;:): {\\displaystyle \\sin@@{\\NVar{z}}}</strong>\n</merror></math>"^^<http://www.w3.org/1998/Math/MathML> ;
	pq:P5 "C4.S14.E1.m2aadec" .

wd:Q4838 p:P4 wds:Q4838-0B5EDA49-BF02-4B8C-AE34-D15314D83AB0 .

wds:Q4838-0B5EDA49-BF02-4B8C-AE34-D15314D83AB0 a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P4 wd:Q11591 ;
	pq:P1 "<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><merror><strong class=\"error texerror\">Failed to parse (LaTeXML (experimental; uses MathML): Invalid response (&quot;&quot;) from server &quot;http://latexml:8080/convert/&quot;:): {\\displaystyle \\mu}</strong>\n</merror></math>"^^<http://www.w3.org/1998/Math/MathML> ;
	pq:P5 "C14.S1.XMD7.m1adec" .

wd:Q4838 p:P4 wds:Q4838-02A6FB25-BC6F-4661-BEB7-AC5AA04B16B5 .

wds:Q4838-02A6FB25-BC6F-4661-BEB7-AC5AA04B16B5 a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P4 wd:Q11590 ;
	pq:P1 "<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><merror><strong class=\"error texerror\">Failed to parse (LaTeXML (experimental; uses MathML): Invalid response (&quot;&quot;) from server &quot;http://latexml:8080/convert/&quot;:): {\\displaystyle \\nu}</strong>\n</merror></math>"^^<http://www.w3.org/1998/Math/MathML> ;
	pq:P5 "C14.S1.XMD8.m1adec" .

wd:Q4838 p:P4 wds:Q4838-B9B2DB65-8DBD-4FA6-A87B-173B9C05F1E1 .

wds:Q4838-B9B2DB65-8DBD-4FA6-A87B-173B9C05F1E1 a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P4 wd:Q11607 ;
	pq:P1 "<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><merror><strong class=\"error texerror\">Failed to parse (LaTeXML (experimental; uses MathML): Invalid response (&quot;&quot;) from server &quot;http://latexml:8080/convert/&quot;:): {\\displaystyle 0&lt;\\theta&lt;\\pi}</strong>\n</merror></math>"^^<http://www.w3.org/1998/Math/MathML> ;
	pq:P5 "C14.S13.XMD1.m1adec" .

wd:Q4838 rdfs:label "DLMF:14.13.E2"@en ;
	skos:prefLabel "DLMF:14.13.E2"@en ;
	schema:name "DLMF:14.13.E2"@en .

wd:P1 a wikibase:Property ;
	rdfs:label "Defining formula"@en ;
	skos:prefLabel "Defining formula"@en ;
	schema:name "Defining formula"@en ;
	schema:description "The formula defining a mathematical concept or identity"@en ;
	wikibase:propertyType <http://wikiba.se/ontology#Contentmath> ;
	wikibase:directClaim wdt:P1 ;
	wikibase:claim p:P1 ;
	wikibase:statementProperty ps:P1 ;
	wikibase:statementValue psv:P1 ;
	wikibase:qualifier pq:P1 ;
	wikibase:qualifierValue pqv:P1 ;
	wikibase:reference pr:P1 ;
	wikibase:referenceValue prv:P1 ;
	wikibase:novalue wdno:P1 .

p:P1 a owl:ObjectProperty .

psv:P1 a owl:ObjectProperty .

pqv:P1 a owl:ObjectProperty .

prv:P1 a owl:ObjectProperty .

wdt:P1 a owl:DatatypeProperty .

ps:P1 a owl:DatatypeProperty .

pq:P1 a owl:DatatypeProperty .

pr:P1 a owl:DatatypeProperty .

wdno:P1 a owl:Class ;
	owl:complementOf _:b96ec5135b6832e1d84209d72460276b .

_:b96ec5135b6832e1d84209d72460276b a owl:Restriction ;
	owl:onProperty wdt:P1 ;
	owl:someValuesFrom owl:Thing .

wd:P2 a wikibase:Property ;
	rdfs:label "DLMF id"@en ;
	skos:prefLabel "DLMF id"@en ;
	schema:name "DLMF id"@en ;
	schema:description "Link to the DLMF"@en ;
	wikibase:propertyType <http://wikiba.se/ontology#ExternalId> ;
	wikibase:directClaim wdt:P2 ;
	wikibase:claim p:P2 ;
	wikibase:statementProperty ps:P2 ;
	wikibase:statementValue psv:P2 ;
	wikibase:qualifier pq:P2 ;
	wikibase:qualifierValue pqv:P2 ;
	wikibase:reference pr:P2 ;
	wikibase:referenceValue prv:P2 ;
	wikibase:novalue wdno:P2 ;
	wikibase:directClaimNormalized wdtn:P2 ;
	wikibase:statementValueNormalized psn:P2 ;
	wikibase:qualifierValueNormalized pqn:P2 ;
	wikibase:referenceValueNormalized prn:P2 .

p:P2 a owl:ObjectProperty .

psv:P2 a owl:ObjectProperty .

pqv:P2 a owl:ObjectProperty .

prv:P2 a owl:ObjectProperty .

wdt:P2 a owl:DatatypeProperty .

ps:P2 a owl:DatatypeProperty .

pq:P2 a owl:DatatypeProperty .

pr:P2 a owl:DatatypeProperty .

psn:P2 a owl:ObjectProperty .

pqn:P2 a owl:ObjectProperty .

prn:P2 a owl:ObjectProperty .

wdtn:P2 a owl:ObjectProperty .

wdno:P2 a owl:Class ;
	owl:complementOf _:1f05fece3ad482b53eed1f5510da49fa .

_:1f05fece3ad482b53eed1f5510da49fa a owl:Restriction ;
	owl:onProperty wdt:P2 ;
	owl:someValuesFrom owl:Thing .

wd:Q10197 a wikibase:Item ;
	rdfs:label "gamma function"@en ;
	skos:prefLabel "gamma function"@en ;
	schema:name "gamma function"@en .

wd:P4 a wikibase:Property ;
	rdfs:label "Symbols used"@en ;
	skos:prefLabel "Symbols used"@en ;
	schema:name "Symbols used"@en ;
	wikibase:propertyType <http://wikiba.se/ontology#WikibaseItem> ;
	wikibase:directClaim wdt:P4 ;
	wikibase:claim p:P4 ;
	wikibase:statementProperty ps:P4 ;
	wikibase:statementValue psv:P4 ;
	wikibase:qualifier pq:P4 ;
	wikibase:qualifierValue pqv:P4 ;
	wikibase:reference pr:P4 ;
	wikibase:referenceValue prv:P4 ;
	wikibase:novalue wdno:P4 .

p:P4 a owl:ObjectProperty .

psv:P4 a owl:ObjectProperty .

pqv:P4 a owl:ObjectProperty .

prv:P4 a owl:ObjectProperty .

wdt:P4 a owl:ObjectProperty .

ps:P4 a owl:ObjectProperty .

pq:P4 a owl:ObjectProperty .

pr:P4 a owl:ObjectProperty .

wdno:P4 a owl:Class ;
	owl:complementOf _:c298799f0cd3665c958b9d4edf0ffbf3 .

_:c298799f0cd3665c958b9d4edf0ffbf3 a owl:Restriction ;
	owl:onProperty wdt:P4 ;
	owl:someValuesFrom owl:Thing .

wd:Q10415 a wikibase:Item ;
	rdfs:label "Ferrers function of the second kind"@en ;
	skos:prefLabel "Ferrers function of the second kind"@en ;
	schema:name "Ferrers function of the second kind"@en .

wd:Q10759 a wikibase:Item .

wd:Q10152 a wikibase:Item ;
	rdfs:label "the ratio of the circumference of a circle to its diameter"@en ;
	skos:prefLabel "the ratio of the circumference of a circle to its diameter"@en ;
	schema:name "the ratio of the circumference of a circle to its diameter"@en .

wd:Q10164 a wikibase:Item ;
	rdfs:label "cosine function"@en ;
	skos:prefLabel "cosine function"@en ;
	schema:name "cosine function"@en .

wd:Q10755 a wikibase:Item .

wd:Q10163 a wikibase:Item ;
	rdfs:label "sine function"@en ;
	skos:prefLabel "sine function"@en ;
	schema:name "sine function"@en .

wd:Q11591 a wikibase:Item .

wd:Q11590 a wikibase:Item .

wd:Q11607 a wikibase:Item .

wd:P5 a wikibase:Property ;
	rdfs:label "xml-id"@en ;
	skos:prefLabel "xml-id"@en ;
	schema:name "xml-id"@en ;
	wikibase:propertyType <http://wikiba.se/ontology#ExternalId> ;
	wikibase:directClaim wdt:P5 ;
	wikibase:claim p:P5 ;
	wikibase:statementProperty ps:P5 ;
	wikibase:statementValue psv:P5 ;
	wikibase:qualifier pq:P5 ;
	wikibase:qualifierValue pqv:P5 ;
	wikibase:reference pr:P5 ;
	wikibase:referenceValue prv:P5 ;
	wikibase:novalue wdno:P5 ;
	wikibase:directClaimNormalized wdtn:P5 ;
	wikibase:statementValueNormalized psn:P5 ;
	wikibase:qualifierValueNormalized pqn:P5 ;
	wikibase:referenceValueNormalized prn:P5 .

p:P5 a owl:ObjectProperty .

psv:P5 a owl:ObjectProperty .

pqv:P5 a owl:ObjectProperty .

prv:P5 a owl:ObjectProperty .

wdt:P5 a owl:DatatypeProperty .

ps:P5 a owl:DatatypeProperty .

pq:P5 a owl:DatatypeProperty .

pr:P5 a owl:DatatypeProperty .

psn:P5 a owl:ObjectProperty .

pqn:P5 a owl:ObjectProperty .

prn:P5 a owl:ObjectProperty .

wdtn:P5 a owl:ObjectProperty .

wdno:P5 a owl:Class ;
	owl:complementOf _:5a6c7a576e39dbbe9a035303bd73cd44 .

_:5a6c7a576e39dbbe9a035303bd73cd44 a owl:Restriction ;
	owl:onProperty wdt:P5 ;
	owl:someValuesFrom owl:Thing .
