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":{"Q5332":{"pageid":8958,"ns":120,"title":"Item:Q5332","lastrevid":51624,"modified":"2020-01-02T12:51:35Z","type":"item","id":"Q5332","labels":{"en":{"language":"en","value":"DLMF:17.2.E42"}},"descriptions":{},"aliases":{},"claims":{"P1":[{"mainsnak":{"snaktype":"value","property":"P1","hash":"d037c000511ce4d1067d3c084cdbdec6d61878a7","datavalue":{"value":"f^{[n]}(z)=\\mathcal{D}_{q}^{n}f(z)=\\begin{cases}z^{-n}(1-q)^{-n}\\sum_{j=0}^{n}q^{-nj+\\binom{j+1}{2}}(-1)^{j}\\qbinom{n}{j}{q}f(zq^{j}),&z\\neq 0,\\\\ \\dfrac{f^{(n)}(0)\\qPochhammer{q}{q}{n}}{n!(1-q)^{n}},&z=0.\\end{cases}","type":"string"},"datatype":"contentmath"},"type":"statement","id":"Q5332$197EF598-692D-4BEB-A442-061F4C17BB79","rank":"normal"}],"P2":[{"mainsnak":{"snaktype":"value","property":"P2","hash":"359d0a1fb53a658219431421dba86bc20b6709ca","datavalue":{"value":"DLMF:17.2.E42","type":"string"},"datatype":"external-id"},"type":"statement","id":"Q5332$52E59485-DA31-4A2D-8652-DB637A7E4AF1","rank":"normal"}],"P4":[{"mainsnak":{"snaktype":"value","property":"P4","hash":"7bcd01f11521fcbe138d82311d91eba5026c9f02","datavalue":{"value":{"entity-type":"item","numeric-id":10754,"id":"Q10754"},"type":"wikibase-entityid"},"datatype":"wikibase-item"},"type":"statement","qualifiers":{"P1":[{"snaktype":"value","property":"P1","hash":"b9061079fd680ba74060035ca7f0b57e325741e3","datavalue":{"value":"\\binom{\\NVar{m}}{\\NVar{n}}","type":"string"},"datatype":"contentmath"}],"P5":[{"snaktype":"value","property":"P5","hash":"34eb4e41cef56c4ee42aa744ac18e9298fb3e855","datavalue":{"value":"C1.S2.SS1.m1amdec","type":"string"},"datatype":"external-id"}]},"qualifiers-order":["P1","P5"],"id":"Q5332$DA2F8FFE-BA7B-41FE-B88F-AAB5D3A49748","rank":"normal"},{"mainsnak":{"snaktype":"value","property":"P4","hash":"6c5bc3af12180898d33226ec3d4f01d66be52c4c","datavalue":{"value":{"entity-type":"item","numeric-id":10755,"id":"Q10755"},"type":"wikibase-entityid"},"datatype":"wikibase-item"},"type":"statement","qualifiers":{"P1":[{"snaktype":"value","property":"P1","hash":"ff58d6a62b4020508b3550a7ca81c3d02a61d5e2","datavalue":{"value":"!","type":"string"},"datatype":"contentmath"}],"P5":[{"snaktype":"value","property":"P5","hash":"0e1b20cd98128930716a7a629cbef860bb2ef4e2","datavalue":{"value":"introduction.Sx4.p1.t1.r15.m5aadec","type":"string"},"datatype":"external-id"}]},"qualifiers-order":["P1","P5"],"id":"Q5332$FAE3694B-B111-4F61-A81F-1992328BD31D","rank":"normal"},{"mainsnak":{"snaktype":"value","property":"P4","hash":"4b92441ef78a2ae92411377e189b7596e76d6294","datavalue":{"value":{"entity-type":"item","numeric-id":11298,"id":"Q11298"},"type":"wikibase-entityid"},"datatype":"wikibase-item"},"type":"statement","qualifiers":{"P1":[{"snaktype":"value","property":"P1","hash":"c062fe4096af04a9266dfd82eed20adab7e3be1f","datavalue":{"value":"\\qPochhammer{\\NVar{a}}{\\NVar{q}}{\\NVar{n}}","type":"string"},"datatype":"contentmath"}],"P5":[{"snaktype":"value","property":"P5","hash":"054a632db33aba9b07b18b7453ab18ce5536b674","datavalue":{"value":"C17.S2.SS1.p1.m2aaidec","type":"string"},"datatype":"external-id"}]},"qualifiers-order":["P1","P5"],"id":"Q5332$9CC02740-0F34-4607-BEFD-AC37755A8F75","rank":"normal"},{"mainsnak":{"snaktype":"value","property":"P4","hash":"4954702f8de12cca3e789b4d502789e384e6ab51","datavalue":{"value":{"entity-type":"item","numeric-id":10443,"id":"Q10443"},"type":"wikibase-entityid"},"datatype":"wikibase-item"},"type":"statement","qualifiers":{"P1":[{"snaktype":"value","property":"P1","hash":"842b5498a28974ab4ca477e10cf3cf32fe7122fb","datavalue":{"value":"\\qbinom{\\NVar{n}}{\\NVar{m}}{\\NVar{q}}","type":"string"},"datatype":"contentmath"}],"P5":[{"snaktype":"value","property":"P5","hash":"0121176955b75e78779beded53584f45dc5b4a48","datavalue":{"value":"C17.S2.E27.m2aldec","type":"string"},"datatype":"external-id"}]},"qualifiers-order":["P1","P5"],"id":"Q5332$7BACE7AA-9B7D-4E11-89C5-799BFF8DA50C","rank":"normal"},{"mainsnak":{"snaktype":"value","property":"P4","hash":"8a2ff9b2d10c3841129506360f746718cf9ba47f","datavalue":{"value":{"entity-type":"item","numeric-id":11710,"id":"Q11710"},"type":"wikibase-entityid"},"datatype":"wikibase-item"},"type":"statement","qualifiers":{"P1":[{"snaktype":"value","property":"P1","hash":"d3fba9e793a89f51f8ed188afe13307bb91bc7db","datavalue":{"value":"q","type":"string"},"datatype":"contentmath"}],"P5":[{"snaktype":"value","property":"P5","hash":"1050f070a6aa449d25de299fbb8761d03e382722","datavalue":{"value":"C17.S1.XMD10.m1andec","type":"string"},"datatype":"external-id"}]},"qualifiers-order":["P1","P5"],"id":"Q5332$CDB4374D-29A2-42A4-9EA6-B9941F66BDF3","rank":"normal"},{"mainsnak":{"snaktype":"value","property":"P4","hash":"31b0b7a9ea5099a3e66cceaa4dc4f9eecc5eb3d7","datavalue":{"value":{"entity-type":"item","numeric-id":11712,"id":"Q11712"},"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":"8e40ee7dae9dc5f2b08d16c924e7710409915c5c","datavalue":{"value":"C17.S1.XMD2.m1idec","type":"string"},"datatype":"external-id"}]},"qualifiers-order":["P1","P5"],"id":"Q5332$E71882F3-75D0-4E5B-BAD4-7443C607D793","rank":"normal"},{"mainsnak":{"snaktype":"value","property":"P4","hash":"a20fd2c921af67c23a4605599917d15a46cabb0a","datavalue":{"value":{"entity-type":"item","numeric-id":11711,"id":"Q11711"},"type":"wikibase-entityid"},"datatype":"wikibase-item"},"type":"statement","qualifiers":{"P1":[{"snaktype":"value","property":"P1","hash":"9d6717f5e540c134dea92e5807088ce8aaf9dda4","datavalue":{"value":"n","type":"string"},"datatype":"contentmath"}],"P5":[{"snaktype":"value","property":"P5","hash":"330826ec66c57f98e4bfa4cc111af8616546f110","datavalue":{"value":"C17.S1.XMD4.m1akdec","type":"string"},"datatype":"external-id"}]},"qualifiers-order":["P1","P5"],"id":"Q5332$6DD802A1-7604-433F-A4A1-C5B5B2F0EDAE","rank":"normal"},{"mainsnak":{"snaktype":"value","property":"P4","hash":"e9735edf6e80fd3be160567f90f98bdb13d1b190","datavalue":{"value":{"entity-type":"item","numeric-id":11718,"id":"Q11718"},"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":"50818db9c1d9d037b67854e9703252d860c02e89","datavalue":{"value":"C17.S1.XMD7.m1edec","type":"string"},"datatype":"external-id"}]},"qualifiers-order":["P1","P5"],"id":"Q5332$545D7A9D-496E-4BA3-839A-39AF9063BA32","rank":"normal"},{"mainsnak":{"snaktype":"value","property":"P4","hash":"a1c535d590fae7e27948813f60494a317740537f","datavalue":{"value":{"entity-type":"item","numeric-id":10444,"id":"Q10444"},"type":"wikibase-entityid"},"datatype":"wikibase-item"},"type":"statement","qualifiers":{"P1":[{"snaktype":"value","property":"P1","hash":"da59e700a4b869fb1a56d8d352fadc9d02831e10","datavalue":{"value":"\\mathcal{D}_{q}","type":"string"},"datatype":"contentmath"}],"P5":[{"snaktype":"value","property":"P5","hash":"0321a67d46b60b9e119a5b8c3bab742a0f47e020","datavalue":{"value":"C17.S2.XMD1.m1adec","type":"string"},"datatype":"external-id"}]},"qualifiers-order":["P1","P5"],"id":"Q5332$30682826-ABE4-4196-9BF8-CAA5B13FEB79","rank":"normal"}]},"sitelinks":{}}}}