DLMF:3.4.E19 (Q1223)

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DLMF:3.4.E19
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    1 k ! = 1 2 π r k 0 2 π e r cos θ cos ( r sin θ - k θ ) d θ . 1 𝑘 1 2 superscript 𝑟 𝑘 superscript subscript 0 2 superscript 𝑒 𝑟 𝜃 𝑟 𝜃 𝑘 𝜃 𝜃 {\displaystyle{\displaystyle\frac{1}{k!}=\frac{1}{2\pi r^{k}}\int_{0}^{2\pi}e^% {r\cos\theta}\cos\left(r\sin\theta-k\theta\right)\mathrm{d}\theta.}}
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