DLMF:15.4.E19 (Q5003)

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DLMF:15.4.E19
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    Statements

    Defining formula
    F ⁡ ( a + 1 , b ; a ; z ) = ( 1 - ( 1 - ( b / a ) ) ⁢ z ) ⁢ ( 1 - z ) - 1 - b . Gauss-hypergeometric-F 𝑎 1 𝑏 𝑎 𝑧 1 1 𝑏 𝑎 𝑧 superscript 1 𝑧 1 𝑏 {\displaystyle{\displaystyle F\left(a+1,b;a;z\right)=\left(1-(1-(\ifrac{b}{a})% )z\right)(1-z)^{-1-b}.}}
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    DLMF id
    DLMF:15.4.E19
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