DLMF:13.26.E7 (Q4659)

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DLMF:13.26.E7
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    Defining formula
    e - 1 2 ⁢ y ⁢ ( x x + y ) μ - 1 2 ⁢ ∑ n = 0 ∞ ( 1 2 - μ - κ ) n n ! ⁢ ( - y x ) n ⁢ W κ - 1 2 ⁢ n , μ - 1 2 ⁢ n ⁡ ( x ) , superscript 𝑒 1 2 𝑦 superscript 𝑥 𝑥 𝑦 𝜇 1 2 superscript subscript 𝑛 0 Pochhammer 1 2 𝜇 𝜅 𝑛 𝑛 superscript 𝑦 𝑥 𝑛 Whittaker-confluent-hypergeometric-W 𝜅 1 2 𝑛 𝜇 1 2 𝑛 𝑥 {\displaystyle{\displaystyle e^{-\frac{1}{2}y}\left(\frac{x}{x+y}\right)^{\mu-% \frac{1}{2}}\sum_{n=0}^{\infty}\frac{{\left(\frac{1}{2}-\mu-\kappa\right)_{n}}% }{n!}\left(\frac{-y}{\sqrt{x}}\right)^{n}\*W_{\kappa-\frac{1}{2}n,\mu-\frac{1}% {2}n}\left(x\right),}}
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    DLMF id
    DLMF:13.26.E7
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