DLMF:2.11.E11 (Q1036): Difference between revisions

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Revision as of 15:55, 30 December 2019

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DLMF:2.11.E11
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    F n + p ( z ) = e - z 2 π 0 e - z t t n + p - 1 1 + t d t = Γ ( n + p ) 2 π E n + p ( z ) z n + p - 1 . terminant-function 𝑛 𝑝 𝑧 superscript 𝑒 𝑧 2 𝜋 superscript subscript 0 superscript 𝑒 𝑧 𝑡 superscript 𝑡 𝑛 𝑝 1 1 𝑡 𝑡 Euler-Gamma 𝑛 𝑝 2 𝜋 exponential-integral-En 𝑛 𝑝 𝑧 superscript 𝑧 𝑛 𝑝 1 {\displaystyle{\displaystyle F_{n+p}\left(z\right)=\frac{e^{-z}}{2\pi}\int_{0}% ^{\infty}\frac{e^{-zt}t^{n+p-1}}{1+t}\mathrm{d}t=\frac{\Gamma\left(n+p\right)}% {2\pi}\frac{E_{n+p}\left(z\right)}{z^{n+p-1}}.}}
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    DLMF:2.11.E11
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