DLMF:13.13.E10 (Q4487)

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DLMF:13.13.E10
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    Statements

    Defining formula
    e y ⁢ ∑ n = 0 ∞ ( - y ) n n ! ⁢ U ⁡ ( a , b + n , x ) , superscript 𝑒 𝑦 superscript subscript 𝑛 0 superscript 𝑦 𝑛 𝑛 Kummer-confluent-hypergeometric-U 𝑎 𝑏 𝑛 𝑥 {\displaystyle{\displaystyle e^{y}\sum_{n=0}^{\infty}\frac{(-y)^{n}}{n!}U\left% (a,b+n,x\right),}}
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    DLMF id
    DLMF:13.13.E10
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    constraint
    | y | < | x | 𝑦 𝑥 {\displaystyle{\displaystyle|y|<|x|}}
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