DLMF:8.6.E8 (Q2522)

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DLMF:8.6.E8
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    γ ( a , z ) = - i z a 2 sin ( π a ) - 1 ( 0 + ) t a - 1 e z t d t , incomplete-gamma 𝑎 𝑧 imaginary-unit superscript 𝑧 𝑎 2 𝜋 𝑎 superscript subscript 1 limit-from 0 superscript 𝑡 𝑎 1 superscript 𝑒 𝑧 𝑡 𝑡 {\displaystyle{\displaystyle\gamma\left(a,z\right)=\frac{-\mathrm{i}z^{a}}{2% \sin\left(\pi a\right)}\int_{-1}^{(0+)}t^{a-1}e^{zt}\mathrm{d}t,}}
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    a 𝑎 {\displaystyle{\displaystyle a\notin\mathbb{Z}}}
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