Deprecated: $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 /var/www/html/w/includes/Debug/MWDebug.php on line 372
{"entities":{"Q5042":{"pageid":8668,"ns":120,"title":"Item:Q5042","lastrevid":41942,"modified":"2020-01-02T11:57:42Z","type":"item","id":"Q5042","labels":{"en":{"language":"en","value":"DLMF:15.6.E4"}},"descriptions":{},"aliases":{},"claims":{"P1":[{"mainsnak":{"snaktype":"value","property":"P1","hash":"87976a4e9d2841378a63954c8c56132e9793055c","datavalue":{"value":"\\hyperOlverF@{a}{b}{c}{z}=e^{-b\\pi\\iunit}\\frac{\\EulerGamma@{1-b}}{2\\pi\\iunit\\EulerGamma@{c-b}}\\int_{1}^{(0+)}\\frac{t^{b-1}(1-t)^{c-b-1}}{(1-zt)^{a}}\\diff{t},","type":"string"},"datatype":"contentmath"},"type":"statement","id":"Q5042$3C66E572-F0E0-4E52-86A4-B240BEA761EB","rank":"normal"}],"P2":[{"mainsnak":{"snaktype":"value","property":"P2","hash":"66d49316f371d10b8f43646902cc9e0a75b6cc27","datavalue":{"value":"DLMF:15.6.E4","type":"string"},"datatype":"external-id"},"type":"statement","id":"Q5042$BBBD5806-2976-42C5-A2CA-557421DC43D4","rank":"normal"}],"P9":[{"mainsnak":{"snaktype":"value","property":"P9","hash":"0e757df6097fbfe83e4c0abca91710ba050392ff","datavalue":{"value":"|\\phase@{1-z}|<\\cpi","type":"string"},"datatype":"contentmath"},"type":"statement","id":"Q5042$85FF83A8-4179-4070-8A16-B0C258F24B43","rank":"normal"},{"mainsnak":{"snaktype":"value","property":"P9","hash":"4ba553f8591f7fe4081804a7e5f4e7fb75e1e2ad","datavalue":{"value":"\\realpart@@{(c-b)}>0","type":"string"},"datatype":"contentmath"},"type":"statement","id":"Q5042$9EB07F8A-1FE2-47BB-9089-AAA5BAC2A2E0","rank":"normal"},{"mainsnak":{"snaktype":"value","property":"P9","hash":"d0ed521df600dbf840a8f1642ca5238ddf2cf63a","datavalue":{"value":"|\\operatorname{ph}\\left(1-z\\right)|<\\pi","type":"string"},"datatype":"contentmath"},"type":"statement","id":"Q5042$508D7DBB-47B3-4B4F-95BE-C15C1CEC4405","rank":"normal"},{"mainsnak":{"snaktype":"value","property":"P9","hash":"3f0ac64eff7aa8454ed2f5c5ce61089d7d0583e6","datavalue":{"value":"b\\neq 1,2,3,\\dots","type":"string"},"datatype":"contentmath"},"type":"statement","id":"Q5042$9CD62344-8C2D-4797-B05A-EF1909A3310A","rank":"normal"},{"mainsnak":{"snaktype":"value","property":"P9","hash":"3b6dcb08df1e70eca4ef40bdb636c4a0d1f527b7","datavalue":{"value":"\\Re(c-b)>0","type":"string"},"datatype":"contentmath"},"type":"statement","id":"Q5042$63E79264-575A-4EF3-AC33-18D37C3527F2","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":"14b6ae7c108f08883857efc255af1f76916c365d","datavalue":{"value":"C5.S2.E1.m2acdec","type":"string"},"datatype":"external-id"}]},"qualifiers-order":["P1","P5"],"id":"Q5042$7919493F-9E8B-40DB-8FD2-6492F7523D48","rank":"normal"},{"mainsnak":{"snaktype":"value","property":"P4","hash":"b1c97226f099251ae8199214186607a0f89c3744","datavalue":{"value":{"entity-type":"item","numeric-id":10152,"id":"Q10152"},"type":"wikibase-entityid"},"datatype":"wikibase-item"},"type":"statement","qualifiers":{"P1":[{"snaktype":"value","property":"P1","hash":"da0c6f736532c1de6ae1fddc61d2c8d692ae161f","datavalue":{"value":"\\cpi","type":"string"},"datatype":"contentmath"}],"P5":[{"snaktype":"value","property":"P5","hash":"254b5d20dae909c4af6db9042ca6ecafb1023834","datavalue":{"value":"C3.S12.E1.m2acdec","type":"string"},"datatype":"external-id"}]},"qualifiers-order":["P1","P5"],"id":"Q5042$F84A9037-8D8E-4B72-AA4D-E7844CF5C0E6","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":"1f50a08bc67e8265f9e6ec842a3f2de4bcb1d442","datavalue":{"value":"C1.S4.SS4.m1acdec","type":"string"},"datatype":"external-id"}]},"qualifiers-order":["P1","P5"],"id":"Q5042$DA08159C-D5CF-4373-A069-B3AB2B57A06C","rank":"normal"},{"mainsnak":{"snaktype":"value","property":"P4","hash":"57a3cd05c0b67240177ed3484ffde2572df2c369","datavalue":{"value":{"entity-type":"item","numeric-id":10155,"id":"Q10155"},"type":"wikibase-entityid"},"datatype":"wikibase-item"},"type":"statement","qualifiers":{"P1":[{"snaktype":"value","property":"P1","hash":"2b3bbbac5749c5d71aed9c44e8d76600789982d0","datavalue":{"value":"\\expe","type":"string"},"datatype":"contentmath"}],"P5":[{"snaktype":"value","property":"P5","hash":"c533e5982c8bbd7c1dc3fac85d865b3f959c6e08","datavalue":{"value":"C4.S2.E11.m2aadec","type":"string"},"datatype":"external-id"}]},"qualifiers-order":["P1","P5"],"id":"Q5042$5AA1BA85-5DDB-4381-9507-4B462526218E","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":"1978ab4a8250ca89d10ec102d040f2376588aaae","datavalue":{"value":"C1.S9.E1.m2abdec","type":"string"},"datatype":"external-id"}]},"qualifiers-order":["P1","P5"],"id":"Q5042$59700DEF-3608-45E8-946F-B46D9F92A748","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":"8432b10e207a236ce46efe160b6593b53e671268","datavalue":{"value":"C1.S4.SS4.m3acdec","type":"string"},"datatype":"external-id"}]},"qualifiers-order":["P1","P5"],"id":"Q5042$205E9056-E228-41F9-89F7-DA75E325833D","rank":"normal"},{"mainsnak":{"snaktype":"value","property":"P4","hash":"8a932ad35a9f416326511a5db461945f4a069563","datavalue":{"value":{"entity-type":"item","numeric-id":10817,"id":"Q10817"},"type":"wikibase-entityid"},"datatype":"wikibase-item"},"type":"statement","qualifiers":{"P1":[{"snaktype":"value","property":"P1","hash":"8de6f45d4b4a70b4951db477849cd68b73d2c136","datavalue":{"value":"\\phase","type":"string"},"datatype":"contentmath"}],"P5":[{"snaktype":"value","property":"P5","hash":"d3cef79569eb95f3cac0e71bafc6e2c230f1eeae","datavalue":{"value":"C1.S9.E7.m1acdec","type":"string"},"datatype":"external-id"}]},"qualifiers-order":["P1","P5"],"id":"Q5042$F28CC5D0-DE5C-4054-BB5D-4AA663D58C49","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":"Q5042$EAED7F0D-21A9-46D5-9F51-ECEC814EE05F","rank":"normal"},{"mainsnak":{"snaktype":"value","property":"P4","hash":"bcdcb798dbf9a55bf84d61a5cf834f7925bef354","datavalue":{"value":{"entity-type":"item","numeric-id":10426,"id":"Q10426"},"type":"wikibase-entityid"},"datatype":"wikibase-item"},"type":"statement","qualifiers":{"P1":[{"snaktype":"value","property":"P1","hash":"541fa4ca5d81abbaf1b72ed6e3b2300f707ba566","datavalue":{"value":"\\hyperOlverF@{\\NVar{a}}{\\NVar{b}}{\\NVar{c}}{\\NVar{z}}","type":"string"},"datatype":"contentmath"}],"P5":[{"snaktype":"value","property":"P5","hash":"b887ec52f89e2c2d2cf5bd53feb40bc97a2e2b6b","datavalue":{"value":"C15.S2.E2.m2acdec","type":"string"},"datatype":"external-id"}]},"qualifiers-order":["P1","P5"],"id":"Q5042$07312BD4-DD06-462F-A0A7-CABBEE4A369B","rank":"normal"},{"mainsnak":{"snaktype":"value","property":"P4","hash":"114c102e4d73b000094cb7a742e1a394fba3cf31","datavalue":{"value":{"entity-type":"item","numeric-id":11644,"id":"Q11644"},"type":"wikibase-entityid"},"datatype":"wikibase-item"},"type":"statement","qualifiers":{"P1":[{"snaktype":"value","property":"P1","hash":"c41ba0704f439980240b26932dcff070434cf67c","datavalue":{"value":"z","type":"string"},"datatype":"contentmath"}],"P5":[{"snaktype":"value","property":"P5","hash":"dc26f8ebc70c7521207901e418f66be73fe859c7","datavalue":{"value":"C15.S1.XMD3.m1cdec","type":"string"},"datatype":"external-id"}]},"qualifiers-order":["P1","P5"],"id":"Q5042$D073C0FE-A169-4629-949F-2E394A86C4E4","rank":"normal"},{"mainsnak":{"snaktype":"value","property":"P4","hash":"035f411f5b89eb590780ea38501032a519fe2c9d","datavalue":{"value":{"entity-type":"item","numeric-id":11645,"id":"Q11645"},"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":"ce721294406ea92a5b5e96be3fad268541289974","datavalue":{"value":"C15.S1.XMD4.m1cdec","type":"string"},"datatype":"external-id"}]},"qualifiers-order":["P1","P5"],"id":"Q5042$E7F9EB8D-77F3-4F43-8EE4-CA8261EDE1A6","rank":"normal"},{"mainsnak":{"snaktype":"value","property":"P4","hash":"eba1d2a6f6f4e486589d6e751011391e4250a860","datavalue":{"value":{"entity-type":"item","numeric-id":11646,"id":"Q11646"},"type":"wikibase-entityid"},"datatype":"wikibase-item"},"type":"statement","qualifiers":{"P1":[{"snaktype":"value","property":"P1","hash":"64698f819cd6ba0c5d3d196cf6ab2e0d81ac6bcf","datavalue":{"value":"b","type":"string"},"datatype":"contentmath"}],"P5":[{"snaktype":"value","property":"P5","hash":"1c59a5f2eb901cc7ba56cf61ae0e325462bbc434","datavalue":{"value":"C15.S1.XMD5.m1cdec","type":"string"},"datatype":"external-id"}]},"qualifiers-order":["P1","P5"],"id":"Q5042$EC964CF1-C94F-403A-A34D-BF02C6A88A59","rank":"normal"},{"mainsnak":{"snaktype":"value","property":"P4","hash":"8dff8603f0b64cada1f66a62d5e1c5d7f78a63a6","datavalue":{"value":{"entity-type":"item","numeric-id":11647,"id":"Q11647"},"type":"wikibase-entityid"},"datatype":"wikibase-item"},"type":"statement","qualifiers":{"P1":[{"snaktype":"value","property":"P1","hash":"665d8d075c8d6bf445595289e8c0f4a99403f91e","datavalue":{"value":"c","type":"string"},"datatype":"contentmath"}],"P5":[{"snaktype":"value","property":"P5","hash":"b54fbfd936c95f08788118741c7d3b283aba8d43","datavalue":{"value":"C15.S1.XMD6.m1cdec","type":"string"},"datatype":"external-id"}]},"qualifiers-order":["P1","P5"],"id":"Q5042$11FC3C5F-81EB-4B7F-BAF0-59A6B200F6E4","rank":"normal"}]},"sitelinks":{}}}}