DLMF:10.43.E12 (Q3626)

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DLMF:10.43.E12
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    Statements

    test
    Ki α ⁡ ( x ) = ∫ 0 ∞ e - x ⁢ cosh ⁡ t ( cosh ⁡ t ) α ⁢ d t , Bickley-Ki 𝛼 𝑥 superscript subscript 0 superscript 𝑒 𝑥 𝑡 superscript 𝑡 𝛼 𝑡 {\displaystyle{\displaystyle\mathrm{Ki}_{\alpha}\left(x\right)=\int_{0}^{% \infty}\frac{e^{-x\cosh t}}{(\cosh t)^{\alpha}}\mathrm{d}t,}}
    0 references
    DLMF id
    DLMF:10.43.E12
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    constraint
    x > 0 𝑥 0 {\displaystyle{\displaystyle x>0}}
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