DLMF:15.8.E17 (Q5074): 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 17:55, 30 December 2019

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DLMF:15.8.E17
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    F ( a , b 1 2 ( a + b + 1 ) ; z ) = ( 1 - 2 z ) - a F ( 1 2 a , 1 2 a + 1 2 1 2 ( a + b + 1 ) ; 4 z ( z - 1 ) ( 1 - 2 z ) 2 ) , Gauss-hypergeometric-F 𝑎 𝑏 1 2 𝑎 𝑏 1 𝑧 superscript 1 2 𝑧 𝑎 Gauss-hypergeometric-F 1 2 𝑎 1 2 𝑎 1 2 1 2 𝑎 𝑏 1 4 𝑧 𝑧 1 superscript 1 2 𝑧 2 {\displaystyle{\displaystyle F\left({a,b\atop\frac{1}{2}(a+b+1)};z\right)=(1-2% z)^{-a}F\left({\frac{1}{2}a,\frac{1}{2}a+\frac{1}{2}\atop\frac{1}{2}(a+b+1)};% \frac{4z(z-1)}{(1-2z)^{2}}\right),}}
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    DLMF:15.8.E17
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    z < 1 2 𝑧 1 2 {\displaystyle{\displaystyle\Re z<\frac{1}{2}}}
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