DLMF:6.18#Ex1 (Q2315)

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DLMF:6.18#Ex1
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    Defining formula
    A n = ∫ 0 ∞ t ⁢ e - z ⁢ t 1 + t 2 ⁢ ( t 2 1 + t 2 ) n ⁢ d t , subscript 𝐴 𝑛 superscript subscript 0 𝑡 superscript 𝑒 𝑧 𝑡 1 superscript 𝑡 2 superscript superscript 𝑡 2 1 superscript 𝑡 2 𝑛 𝑡 {\displaystyle{\displaystyle A_{n}=\int_{0}^{\infty}\frac{te^{-zt}}{1+t^{2}}% \left(\frac{t^{2}}{1+t^{2}}\right)^{n}\mathrm{d}t,}}
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    DLMF id
    DLMF:6.18#Ex1
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