DLMF:13.13.E12 (Q4489)

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DLMF:13.13.E12
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    Statements

    test
    e y ⁢ ( x + y x ) 1 - b ⁢ ∑ n = 0 ∞ ( - y ) n n ! ⁢ x n ⁢ U ⁡ ( a - n , b - n , x ) , superscript 𝑒 𝑦 superscript 𝑥 𝑦 𝑥 1 𝑏 superscript subscript 𝑛 0 superscript 𝑦 𝑛 𝑛 superscript 𝑥 𝑛 Kummer-confluent-hypergeometric-U 𝑎 𝑛 𝑏 𝑛 𝑥 {\displaystyle{\displaystyle e^{y}\left(\frac{x+y}{x}\right)^{1-b}\sum_{n=0}^{% \infty}\frac{(-y)^{n}}{n!x^{n}}U\left(a-n,b-n,x\right),}}
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    DLMF id
    DLMF:13.13.E12
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    constraint
    | y | < | x | 𝑦 𝑥 {\displaystyle{\displaystyle|y|<|x|}}
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