DLMF:16.4.E9 (Q5203): Difference between revisions

Revision as of 14:31, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:16.4.E9	No description defined

{\displaystyle{\displaystyle{{}_{5}F_{4}}\left({a,\frac{1}{2}a+1,b,c,d\atop% \frac{1}{2}a,a-b+1,a-c+1,a-d+1};1\right)=\frac{\Gamma\left(a-b+1\right)\Gamma% \left(a-c+1\right)\Gamma\left(a-d+1\right)\Gamma\left(a-b-c-d+1\right)}{\Gamma% \left(a+1\right)\Gamma\left(a-b-c+1\right)\Gamma\left(a-b-d+1\right)\Gamma% \left(a-c-d+1\right)},}}

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DLMF:16.4.E9

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{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

C5.S2.E1.m2addec

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{\displaystyle{\displaystyle{{}_{\NVar{p}}F_{\NVar{q}}}\left(\NVar{a_{1},\dots% ,a_{p}};\NVar{b_{1},\dots,b_{q}};\NVar{z}\right)}}

C16.S2.m1afdec

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{\displaystyle{\displaystyle a,a_{1},\ldots,a_{p}}}

C16.S1.XMD4.m1gdec

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@@ Property / Symbols used @@
+Q11693
@@ Property / Symbols used: Q11693 / rank @@
+Normal rank
@@ Property / Symbols used: Q11693 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle a,a_{1},\ldots,a_{p}}}$ 
a,a_{1},\ldots,a_{p}
@@ Property / Symbols used: Q11693 / qualifier @@
+xml-id: C16.S1.XMD4.m1gdec