DLMF:11.7.E13 (Q4003)

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DLMF:11.7.E13
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    test
    ∫ 0 ∞ e - a ⁢ t ⁢ 𝐇 0 ⁡ ( t ) ⁢ d t = 2 π ⁢ 1 + a 2 ⁢ ln ⁡ ( 1 + 1 + a 2 a ) , superscript subscript 0 superscript 𝑒 𝑎 𝑡 Struve-H 0 𝑡 𝑡 2 𝜋 1 superscript 𝑎 2 1 1 superscript 𝑎 2 𝑎 {\displaystyle{\displaystyle\int_{0}^{\infty}e^{-at}\mathbf{H}_{0}\left(t% \right)\mathrm{d}t=\frac{2}{\pi\sqrt{1+a^{2}}}\ln\left(\frac{1+\sqrt{1+a^{2}}}% {a}\right),}}
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    DLMF id
    DLMF:11.7.E13
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