DLMF:15.5.E15 (Q5032)

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DLMF:15.5.E15
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    Statements

    test
    ( c - a - 1 ) ⁢ F ⁡ ( a , b ; c ; z ) + a ⁢ F ⁡ ( a + 1 , b ; c ; z ) - ( c - 1 ) ⁢ F ⁡ ( a , b ; c - 1 ; z ) = 0 , 𝑐 𝑎 1 Gauss-hypergeometric-F 𝑎 𝑏 𝑐 𝑧 𝑎 Gauss-hypergeometric-F 𝑎 1 𝑏 𝑐 𝑧 𝑐 1 Gauss-hypergeometric-F 𝑎 𝑏 𝑐 1 𝑧 0 {\displaystyle{\displaystyle(c-a-1)F\left(a,b;c;z\right)+aF\left(a+1,b;c;z% \right)-(c-1)F\left(a,b;c-1;z\right)=0,}}
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    DLMF id
    DLMF:15.5.E15
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