DLMF:10.32.E1 (Q3521)

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DLMF:10.32.E1
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    I 0 ( z ) = 1 π 0 π e ± z cos θ d θ = 1 π 0 π cosh ( z cos θ ) d θ . modified-Bessel-first-kind 0 𝑧 1 𝜋 superscript subscript 0 𝜋 superscript 𝑒 plus-or-minus 𝑧 𝜃 𝜃 1 𝜋 superscript subscript 0 𝜋 𝑧 𝜃 𝜃 {\displaystyle{\displaystyle I_{0}\left(z\right)=\frac{1}{\pi}\int_{0}^{\pi}e^% {\pm z\cos\theta}\mathrm{d}\theta=\frac{1}{\pi}\int_{0}^{\pi}\cosh\left(z\cos% \theta\right)\mathrm{d}\theta.}}
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