<br />
<b>Deprecated</b>:  $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in <b>/var/www/html/w/includes/Debug/MWDebug.php</b> on line <b>372</b><br />
{"entities":{"Q2162":{"pageid":5789,"ns":120,"title":"Item:Q2162","lastrevid":29264,"modified":"2020-01-01T23:05:13Z","type":"item","id":"Q2162","labels":{"en":{"language":"en","value":"DLMF:5.13.E5"}},"descriptions":{},"aliases":{},"claims":{"P1":[{"mainsnak":{"snaktype":"value","property":"P1","hash":"92d73e73a51a0b80c80dad6460eca87aab33fe05","datavalue":{"value":"\\frac{1}{4\\pi}\\int_{-\\infty}^{\\infty}\\frac{\\prod_{k=1}^{4}\\EulerGamma@{a_{k}+it}\\EulerGamma@{a_{k}-it}}{\\EulerGamma@{2it}\\EulerGamma@{-2it}}\\diff{t}=\\frac{\\prod_{1\\leq j<k\\leq 4}\\EulerGamma@{a_{j}+a_{k}}}{\\EulerGamma@{a_{1}+a_{2}+a_{3}+a_{4}}},","type":"string"},"datatype":"contentmath"},"type":"statement","id":"Q2162$B16A173E-F369-4ACD-9BA6-64DD67DA7C04","rank":"normal"}],"P2":[{"mainsnak":{"snaktype":"value","property":"P2","hash":"18af8bc7c09273ed8f1b1d491dbf620b7629a3d9","datavalue":{"value":"DLMF:5.13.E5","type":"string"},"datatype":"external-id"},"type":"statement","id":"Q2162$E8A8FC54-8703-44EF-859F-D4A37071F8CC","rank":"normal"}],"P9":[{"mainsnak":{"snaktype":"value","property":"P9","hash":"e8fb8a4ca4d4207a057c779546f5c07bba955f4e","datavalue":{"value":"\\realpart@@{(a_{k})}>0","type":"string"},"datatype":"contentmath"},"type":"statement","id":"Q2162$CD3E2535-66CB-409D-BED3-25DEE340754D","rank":"normal"},{"mainsnak":{"snaktype":"value","property":"P9","hash":"6892472854d0e942049b99a5b36cdc3762ab8a48","datavalue":{"value":"\\Re(a_{k})>0","type":"string"},"datatype":"contentmath"},"type":"statement","id":"Q2162$3D5D1E03-92DD-425D-A55C-F3CDF50EF678","rank":"normal"},{"mainsnak":{"snaktype":"value","property":"P9","hash":"9636d3070a19f1c59ed3c66f1e6a49afcb2df751","datavalue":{"value":"k=1,2,3,4","type":"string"},"datatype":"contentmath"},"type":"statement","id":"Q2162$29FE7ADF-0CDB-4C0C-A2D2-E0166D1CD7B4","rank":"normal"}],"P4":[{"mainsnak":{"snaktype":"value","property":"P4","hash":"1dc261925ed05c4dbd601eb2195d979897695b7c","datavalue":{"value":{"entity-type":"item","numeric-id":10197,"id":"Q10197"},"type":"wikibase-entityid"},"datatype":"wikibase-item"},"type":"statement","qualifiers":{"P1":[{"snaktype":"value","property":"P1","hash":"9957ac031332079e1b2699da4cb623fda439b0d1","datavalue":{"value":"\\EulerGamma@{\\NVar{z}}","type":"string"},"datatype":"contentmath"}],"P5":[{"snaktype":"value","property":"P5","hash":"3ac55ee1c3d5fc848e057d147fffbda51254bcc9","datavalue":{"value":"C5.S2.E1.m2addec","type":"string"},"datatype":"external-id"}]},"qualifiers-order":["P1","P5"],"id":"Q2162$9138ED47-A837-4D6C-AA25-50E41EDF7D38","rank":"normal"},{"mainsnak":{"snaktype":"value","property":"P4","hash":"b1c97226f099251ae8199214186607a0f89c3744","datavalue":{"value":{"entity-type":"item","numeric-id":10152,"id":"Q10152"},"type":"wikibase-entityid"},"datatype":"wikibase-item"},"type":"statement","qualifiers":{"P1":[{"snaktype":"value","property":"P1","hash":"da0c6f736532c1de6ae1fddc61d2c8d692ae161f","datavalue":{"value":"\\cpi","type":"string"},"datatype":"contentmath"}],"P5":[{"snaktype":"value","property":"P5","hash":"254b5d20dae909c4af6db9042ca6ecafb1023834","datavalue":{"value":"C3.S12.E1.m2acdec","type":"string"},"datatype":"external-id"}]},"qualifiers-order":["P1","P5"],"id":"Q2162$19654DFA-73F7-41B2-91CE-44CC77EB0A82","rank":"normal"},{"mainsnak":{"snaktype":"value","property":"P4","hash":"3431754bb4f48c6edfc9d211c31e9230a0f42ec1","datavalue":{"value":{"entity-type":"item","numeric-id":10770,"id":"Q10770"},"type":"wikibase-entityid"},"datatype":"wikibase-item"},"type":"statement","qualifiers":{"P1":[{"snaktype":"value","property":"P1","hash":"5934de64a1effb5f6532d931f3f47d96391e2ff1","datavalue":{"value":"\\diff{\\NVar{x}}","type":"string"},"datatype":"contentmath"}],"P5":[{"snaktype":"value","property":"P5","hash":"ec665b6b9a395ed86ccf5e99b4296f90be68dc90","datavalue":{"value":"C1.S4.SS4.m1addec","type":"string"},"datatype":"external-id"}]},"qualifiers-order":["P1","P5"],"id":"Q2162$DB44F8E6-31FF-4F8E-9BB8-E8D0EA01A96E","rank":"normal"},{"mainsnak":{"snaktype":"value","property":"P4","hash":"a96522e7b3a64776f4e466df79d6ee0818e4b3d2","datavalue":{"value":{"entity-type":"item","numeric-id":10044,"id":"Q10044"},"type":"wikibase-entityid"},"datatype":"wikibase-item"},"type":"statement","qualifiers":{"P1":[{"snaktype":"value","property":"P1","hash":"bd447882f45d7fa2708fc8d6235eaa6d555492ed","datavalue":{"value":"\\iunit","type":"string"},"datatype":"contentmath"}],"P5":[{"snaktype":"value","property":"P5","hash":"4a959b97469f3b8bd7dd3be101cda0246e2bd901","datavalue":{"value":"C1.S9.E1.m2acdec","type":"string"},"datatype":"external-id"}]},"qualifiers-order":["P1","P5"],"id":"Q2162$2F9A05A7-458D-44B9-AA0F-807F463DFF3A","rank":"normal"},{"mainsnak":{"snaktype":"value","property":"P4","hash":"6e94463c1d2328a0c781ec76dba488c7cbed8489","datavalue":{"value":{"entity-type":"item","numeric-id":10771,"id":"Q10771"},"type":"wikibase-entityid"},"datatype":"wikibase-item"},"type":"statement","qualifiers":{"P1":[{"snaktype":"value","property":"P1","hash":"36e28303875118f01dc995c0d7afcf0e359fa272","datavalue":{"value":"\\int","type":"string"},"datatype":"contentmath"}],"P5":[{"snaktype":"value","property":"P5","hash":"746505d76c34d330a49875b6bcfebd1ad0f7945c","datavalue":{"value":"C1.S4.SS4.m3addec","type":"string"},"datatype":"external-id"}]},"qualifiers-order":["P1","P5"],"id":"Q2162$27719371-2FD3-4C0C-AD50-7E96590B65EA","rank":"normal"},{"mainsnak":{"snaktype":"value","property":"P4","hash":"6fe500c0b8e028c943a5db7c214ccbf31a6f0fa0","datavalue":{"value":{"entity-type":"item","numeric-id":10811,"id":"Q10811"},"type":"wikibase-entityid"},"datatype":"wikibase-item"},"type":"statement","qualifiers":{"P1":[{"snaktype":"value","property":"P1","hash":"065ba50684fcef39e776f63e4a60031263adf577","datavalue":{"value":"\\realpart@@","type":"string"},"datatype":"contentmath"}],"P5":[{"snaktype":"value","property":"P5","hash":"514aba36990ef2b44115da8d9e47d42a9ee88b6a","datavalue":{"value":"C1.S9.E2.m1acdec","type":"string"},"datatype":"external-id"}]},"qualifiers-order":["P1","P5"],"id":"Q2162$F8F44FD0-59D0-4695-84D0-8123CAF85A36","rank":"normal"},{"mainsnak":{"snaktype":"value","property":"P4","hash":"bfa00678951c0bd854bf6ae0736552955e6e2b81","datavalue":{"value":{"entity-type":"item","numeric-id":11292,"id":"Q11292"},"type":"wikibase-entityid"},"datatype":"wikibase-item"},"type":"statement","qualifiers":{"P1":[{"snaktype":"value","property":"P1","hash":"dc3024a8738298926e2fe73a4dd87e18cfb83ef5","datavalue":{"value":"j","type":"string"},"datatype":"contentmath"}],"P5":[{"snaktype":"value","property":"P5","hash":"016e3091164e3aee1475e28ce71b654c51037cb0","datavalue":{"value":"C5.S1.XMD1.m1dec","type":"string"},"datatype":"external-id"}]},"qualifiers-order":["P1","P5"],"id":"Q2162$47732F23-08EF-4100-A301-3C8152FF5AD6","rank":"normal"},{"mainsnak":{"snaktype":"value","property":"P4","hash":"8e231d27a968013b15529793cf6fd0c0b04fea61","datavalue":{"value":{"entity-type":"item","numeric-id":11279,"id":"Q11279"},"type":"wikibase-entityid"},"datatype":"wikibase-item"},"type":"statement","qualifiers":{"P1":[{"snaktype":"value","property":"P1","hash":"26798e90cee0ca35b76d898702891c18cc7ffe8e","datavalue":{"value":"k","type":"string"},"datatype":"contentmath"}],"P5":[{"snaktype":"value","property":"P5","hash":"03f15655096259cf8dd98e1f4df8431b0cc456c1","datavalue":{"value":"C5.S1.XMD4.m1dec","type":"string"},"datatype":"external-id"}]},"qualifiers-order":["P1","P5"],"id":"Q2162$0F23E6C4-28FD-4239-95E4-C2DEDBC5FE88","rank":"normal"},{"mainsnak":{"snaktype":"value","property":"P4","hash":"e60cf9d92ffcb14c56be69ad8d27363dde896d29","datavalue":{"value":{"entity-type":"item","numeric-id":11275,"id":"Q11275"},"type":"wikibase-entityid"},"datatype":"wikibase-item"},"type":"statement","qualifiers":{"P1":[{"snaktype":"value","property":"P1","hash":"bbf5e7ebf678880c0f3ef48f565a3a7c39622fdf","datavalue":{"value":"a","type":"string"},"datatype":"contentmath"}],"P5":[{"snaktype":"value","property":"P5","hash":"e0a13de7be4f2556f391a12bb81ac69666e70035","datavalue":{"value":"C5.S1.XMD8.m1ddec","type":"string"},"datatype":"external-id"}]},"qualifiers-order":["P1","P5"],"id":"Q2162$4246E027-DAA9-4DA3-B12A-5A54C8E6FEAA","rank":"normal"}]},"sitelinks":{}}}}