DLMF:2.10.E20 (Q1007)

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DLMF:2.10.E20
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    Defining formula
    ∑ j = 0 n - 1 x j ( j ! ) 3 = 1 2 ⁢ i ⁢ ∫ 𝒞 x t ( Γ ⁡ ( t + 1 ) ) 3 ⁢ cot ⁡ ( π ⁢ t ) ⁢ d t , superscript subscript 𝑗 0 𝑛 1 superscript 𝑥 𝑗 superscript 𝑗 3 1 2 𝑖 subscript 𝒞 superscript 𝑥 𝑡 superscript Euler-Gamma 𝑡 1 3 𝜋 𝑡 𝑡 {\displaystyle{\displaystyle\sum_{j=0}^{n-1}\frac{x^{j}}{(j!)^{3}}=\frac{1}{2i% }\int_{\mathscr{C}}\frac{x^{t}}{(\Gamma\left(t+1\right))^{3}}\cot\left(\pi t% \right)\mathrm{d}t,}}
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    DLMF id
    DLMF:2.10.E20
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