<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:Q4782 a schema:Dataset ;
	schema:about wd:Q4782 ;
	cc:license <http://creativecommons.org/publicdomain/zero/1.0/> ;
	schema:softwareVersion "1.0.0" ;
	schema:version "32503"^^xsd:integer ;
	schema:dateModified "2020-01-01T23:33:22Z"^^xsd:dateTime ;
	wikibase:statements "10"^^xsd:integer ;
	wikibase:sitelinks "0"^^xsd:integer ;
	wikibase:identifiers "1"^^xsd:integer .

wd:Q4782 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 \\assLegendreP[m]{\\nu}@{x}\\asympeq\\frac{\\EulerGamma@{\\nu+m+1}}{m!\\EulerGamma@{\\nu-m+1}}\\left(\\frac{x-1}{2}\\right)^{m/2},}</strong>\n</merror></math>"^^<http://www.w3.org/1998/Math/MathML> ;
	wdt:P2 "DLMF:14.8.E8" ;
	wdt:P9 "<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\\pm m\\neq-1,-2,-3,\\dots}</strong>\n</merror></math>"^^<http://www.w3.org/1998/Math/MathML> ;
	wdt:P4 wd:Q10197,
		wd:Q11481,
		wd:Q10079,
		wd:Q10755,
		wd:Q11589,
		wd:Q11593,
		wd:Q11590 ;
	p:P1 wds:Q4782-34FDAEA9-B726-4EDD-8080-C9A6DD00301C .

wds:Q4782-34FDAEA9-B726-4EDD-8080-C9A6DD00301C 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 \\assLegendreP[m]{\\nu}@{x}\\asympeq\\frac{\\EulerGamma@{\\nu+m+1}}{m!\\EulerGamma@{\\nu-m+1}}\\left(\\frac{x-1}{2}\\right)^{m/2},}</strong>\n</merror></math>"^^<http://www.w3.org/1998/Math/MathML> .

wd:Q4782 p:P2 wds:Q4782-D1A05C17-9CF0-4CCC-94AA-8E507616D8E2 .

wds:Q4782-D1A05C17-9CF0-4CCC-94AA-8E507616D8E2 a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P2 "DLMF:14.8.E8" .

wd:Q4782 p:P9 wds:Q4782-B027F5BB-E228-4DD9-BFFE-00BD098E222C .

wds:Q4782-B027F5BB-E228-4DD9-BFFE-00BD098E222C a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P9 "<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\\pm m\\neq-1,-2,-3,\\dots}</strong>\n</merror></math>"^^<http://www.w3.org/1998/Math/MathML> .

wd:Q4782 p:P4 wds:Q4782-11923B49-D130-45C1-BBF8-A46427C662F8 .

wds:Q4782-11923B49-D130-45C1-BBF8-A46427C662F8 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.m2aedec" .

wd:Q4782 p:P4 wds:Q4782-A781B577-FFDA-4440-A4E3-2407744F4460 .

wds:Q4782-A781B577-FFDA-4440-A4E3-2407744F4460 a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P4 wd:Q11481 ;
	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 \\assLegendreP[\\NVar{\\mu}]{\\NVar{\\nu}}@{\\NVar{z}}}</strong>\n</merror></math>"^^<http://www.w3.org/1998/Math/MathML> ;
	pq:P5 "C14.S21.SS1.p1.m1aadec" .

wd:Q4782 p:P4 wds:Q4782-2ADBBAC7-4748-4127-AA9D-87334D441F57 .

wds:Q4782-2ADBBAC7-4748-4127-AA9D-87334D441F57 a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P4 wd:Q10079 ;
	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 \\asympeq}</strong>\n</merror></math>"^^<http://www.w3.org/1998/Math/MathML> ;
	pq:P5 "C2.S1.E1.m2afdec" .

wd:Q4782 p:P4 wds:Q4782-2CC45093-95D5-472C-8A43-70E7770C26D7 .

wds:Q4782-2CC45093-95D5-472C-8A43-70E7770C26D7 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:Q4782 p:P4 wds:Q4782-B085E3AB-F191-49C3-BFAD-386E80FFB540 .

wds:Q4782-B085E3AB-F191-49C3-BFAD-386E80FFB540 a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P4 wd:Q11589 ;
	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 x}</strong>\n</merror></math>"^^<http://www.w3.org/1998/Math/MathML> ;
	pq:P5 "C14.S1.XMD1.m1gdec" .

wd:Q4782 p:P4 wds:Q4782-3062C27B-4075-4B39-B6D9-D9B7CC44F73F .

wds:Q4782-3062C27B-4075-4B39-B6D9-D9B7CC44F73F a wikibase:Statement,
		wikibase:BestRank ;
	wikibase:rank wikibase:NormalRank ;
	ps:P4 wd:Q11593 ;
	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 m}</strong>\n</merror></math>"^^<http://www.w3.org/1998/Math/MathML> ;
	pq:P5 "C14.S1.XMD5.m1adec" .

wd:Q4782 p:P4 wds:Q4782-753D0F17-4617-4BFB-99FD-CF61A8FC3D12 .

wds:Q4782-753D0F17-4617-4BFB-99FD-CF61A8FC3D12 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.m1gdec" .

wd:Q4782 rdfs:label "DLMF:14.8.E8"@en ;
	skos:prefLabel "DLMF:14.8.E8"@en ;
	schema:name "DLMF:14.8.E8"@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:P9 a wikibase:Property ;
	rdfs:label "constraint"@en ;
	skos:prefLabel "constraint"@en ;
	schema:name "constraint"@en ;
	schema:description "restricts the applicability of a formula"@en ;
	wikibase:propertyType <http://wikiba.se/ontology#Contentmath> ;
	wikibase:directClaim wdt:P9 ;
	wikibase:claim p:P9 ;
	wikibase:statementProperty ps:P9 ;
	wikibase:statementValue psv:P9 ;
	wikibase:qualifier pq:P9 ;
	wikibase:qualifierValue pqv:P9 ;
	wikibase:reference pr:P9 ;
	wikibase:referenceValue prv:P9 ;
	wikibase:novalue wdno:P9 .

p:P9 a owl:ObjectProperty .

psv:P9 a owl:ObjectProperty .

pqv:P9 a owl:ObjectProperty .

prv:P9 a owl:ObjectProperty .

wdt:P9 a owl:DatatypeProperty .

ps:P9 a owl:DatatypeProperty .

pq:P9 a owl:DatatypeProperty .

pr:P9 a owl:DatatypeProperty .

wdno:P9 a owl:Class ;
	owl:complementOf _:429206ceb9f61f1f170f99bd89de9fe7 .

_:429206ceb9f61f1f170f99bd89de9fe7 a owl:Restriction ;
	owl:onProperty wdt:P9 ;
	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:Q11481 a wikibase:Item .

wd:Q10079 a wikibase:Item ;
	rdfs:label "asymptotic equality"@en ;
	skos:prefLabel "asymptotic equality"@en ;
	schema:name "asymptotic equality"@en .

wd:Q10755 a wikibase:Item .

wd:Q11589 a wikibase:Item .

wd:Q11593 a wikibase:Item .

wd:Q11590 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 .
