DLMF:13.13.E9 (Q4486)

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DLMF:13.13.E9
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    Statements

    Defining formula
    ( x x + y ) a ⁢ ∑ n = 0 ∞ ( a ) n ⁢ ( 1 + a - b ) n ⁢ y n n ! ⁢ ( x + y ) n ⁢ U ⁡ ( a + n , b , x ) , superscript 𝑥 𝑥 𝑦 𝑎 superscript subscript 𝑛 0 Pochhammer 𝑎 𝑛 Pochhammer 1 𝑎 𝑏 𝑛 superscript 𝑦 𝑛 𝑛 superscript 𝑥 𝑦 𝑛 Kummer-confluent-hypergeometric-U 𝑎 𝑛 𝑏 𝑥 {\displaystyle{\displaystyle\left(\frac{x}{x+y}\right)^{a}\sum_{n=0}^{\infty}% \frac{{\left(a\right)_{n}}{\left(1+a-b\right)_{n}}y^{n}}{n!(x+y)^{n}}U\left(a+% n,b,x\right),}}
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    DLMF id
    DLMF:13.13.E9
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