DLMF:15.8.E19 (Q5076): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
Property / constraint
 

z < 1 2 𝑧 1 2 {\displaystyle{\displaystyle\Re z<\frac{1}{2}}}

\realpart@@{z}<\frac{1}{2}
Property / constraint: z < 1 2 𝑧 1 2 {\displaystyle{\displaystyle\Re z<\frac{1}{2}}} / rank
 
Normal rank

Revision as of 17:55, 30 December 2019

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DLMF:15.8.E19
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    F ( a , 1 - a c ; z ) = ( 1 - 2 z ) 1 - a - c ( 1 - z ) c - 1 F ( 1 2 ( a + c ) , 1 2 ( a + c - 1 ) c ; 4 z ( z - 1 ) ( 1 - 2 z ) 2 ) , Gauss-hypergeometric-F 𝑎 1 𝑎 𝑐 𝑧 superscript 1 2 𝑧 1 𝑎 𝑐 superscript 1 𝑧 𝑐 1 Gauss-hypergeometric-F 1 2 𝑎 𝑐 1 2 𝑎 𝑐 1 𝑐 4 𝑧 𝑧 1 superscript 1 2 𝑧 2 {\displaystyle{\displaystyle F\left({a,1-a\atop c};z\right)=(1-2z)^{1-a-c}(1-z% )^{c-1}F\left({\frac{1}{2}(a+c),\frac{1}{2}(a+c-1)\atop c};\frac{4z(z-1)}{(1-2% z)^{2}}\right),}}
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    DLMF:15.8.E19
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    z < 1 2 𝑧 1 2 {\displaystyle{\displaystyle\Re z<\frac{1}{2}}}
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