DLMF:13.13.E2 (Q4479)

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DLMF:13.13.E2
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    Statements

    test
    ( x + y x ) 1 - b ⁢ ∑ n = 0 ∞ ( 1 - b ) n ⁢ ( - y / x ) n n ! ⁢ M ⁡ ( a , b - n , x ) , superscript 𝑥 𝑦 𝑥 1 𝑏 superscript subscript 𝑛 0 Pochhammer 1 𝑏 𝑛 superscript 𝑦 𝑥 𝑛 𝑛 Kummer-confluent-hypergeometric-M 𝑎 𝑏 𝑛 𝑥 {\displaystyle{\displaystyle\left(\frac{x+y}{x}\right)^{1-b}\sum_{n=0}^{\infty% }\frac{{\left(1-b\right)_{n}}(-\ifrac{y}{x})^{n}}{n!}M\left(a,b-n,x\right),}}
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    DLMF id
    DLMF:13.13.E2
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    constraint
    | y | < | x | 𝑦 𝑥 {\displaystyle{\displaystyle|y|<|x|}}
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