DLMF:10.32.E3 (Q3523)

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DLMF:10.32.E3
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    Statements

    test
    I n ⁡ ( z ) = 1 π ⁢ ∫ 0 π e z ⁢ cos ⁡ θ ⁢ cos ⁡ ( n ⁢ θ ) ⁢ d θ . modified-Bessel-first-kind 𝑛 𝑧 1 𝜋 superscript subscript 0 𝜋 superscript 𝑒 𝑧 𝜃 𝑛 𝜃 𝜃 {\displaystyle{\displaystyle I_{n}\left(z\right)=\frac{1}{\pi}\int_{0}^{\pi}e^% {z\cos\theta}\cos\left(n\theta\right)\mathrm{d}\theta.}}
    0 references
    DLMF id
    DLMF:10.32.E3
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    Symbols used
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2abdec
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    cosine function
    test
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2abdec
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