DLMF:15.8.E18 (Q5075): Difference between revisions

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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 16:55, 30 December 2019

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DLMF:15.8.E18
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    Statements

    F ( a , b 1 2 ( a + b + 1 ) ; z ) = F ( 1 2 a , 1 2 b 1 2 ( a + b + 1 ) ; 4 z ( 1 - z ) ) , Gauss-hypergeometric-F 𝑎 𝑏 1 2 𝑎 𝑏 1 𝑧 Gauss-hypergeometric-F 1 2 𝑎 1 2 𝑏 1 2 𝑎 𝑏 1 4 𝑧 1 𝑧 {\displaystyle{\displaystyle F\left({a,b\atop\frac{1}{2}(a+b+1)};z\right)=F% \left({\frac{1}{2}a,\frac{1}{2}b\atop\frac{1}{2}(a+b+1)};4z(1-z)\right),}}
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    z < 1 2 𝑧 1 2 {\displaystyle{\displaystyle\Re z<\frac{1}{2}}}
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