DLMF:13.26.E4 (Q4656)

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DLMF:13.26.E4
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    e 1 2 y ( x x + y ) μ - 1 2 n = 0 ( - 2 μ ) n n ! ( - y x ) n M 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 2 𝜇 𝑛 𝑛 superscript 𝑦 𝑥 𝑛 Whittaker-confluent-hypergeometric-M 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(-2\mu\right)_{n}}}{n!}\left(\frac{% -y}{\sqrt{x}}\right)^{n}\*M_{\kappa+\frac{1}{2}n,\mu-\frac{1}{2}n}\left(x% \right),}}
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