DLMF:15.8.E12 (Q5069)

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DLMF:15.8.E12
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    𝐅 ( a , b ; a + b - m ; z ) = ( 1 - z ) - m 𝐅 ( a ~ , b ~ ; a ~ + b ~ + m ; z ) , scaled-hypergeometric-bold-F 𝑎 𝑏 𝑎 𝑏 𝑚 𝑧 superscript 1 𝑧 𝑚 scaled-hypergeometric-bold-F ~ 𝑎 ~ 𝑏 ~ 𝑎 ~ 𝑏 𝑚 𝑧 {\displaystyle{\displaystyle\mathbf{F}\left(a,b;a+b-m;z\right)=(1-z)^{-m}% \mathbf{F}\left(\tilde{a},\tilde{b};\tilde{a}+\tilde{b}+m;z\right),}}
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