DLMF:10.32.E13 (Q3533)

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DLMF:10.32.E13
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    test
    K ν ⁡ ( z ) = ( 1 2 ⁢ z ) ν 4 ⁢ π ⁢ i ⁢ ∫ c - i ⁢ ∞ c + i ⁢ ∞ Γ ⁡ ( t ) ⁢ Γ ⁡ ( t - ν ) ⁢ ( 1 2 ⁢ z ) - 2 ⁢ t ⁢ d t , modified-Bessel-second-kind 𝜈 𝑧 superscript 1 2 𝑧 𝜈 4 𝜋 𝑖 superscript subscript 𝑐 𝑖 𝑐 𝑖 Euler-Gamma 𝑡 Euler-Gamma 𝑡 𝜈 superscript 1 2 𝑧 2 𝑡 𝑡 {\displaystyle{\displaystyle K_{\nu}\left(z\right)=\frac{(\frac{1}{2}z)^{\nu}}% {4\pi i}\int_{c-i\infty}^{c+i\infty}\Gamma\left(t\right)\Gamma\left(t-\nu% \right)(\tfrac{1}{2}z)^{-2t}\mathrm{d}t,}}
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    DLMF id
    DLMF:10.32.E13
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