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Formula:3196

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Digital Library of Mathematical Functions ID 8.4.E4

Γ ⁡ ( 0 , z ) = ∫ z ∞ t - 1 ⁢ e - t ⁢ d t = E 1 ⁡ ( z ) , incomplete-Gamma 0 𝑧 superscript subscript 𝑧 superscript 𝑡 1 superscript 𝑒 𝑡 𝑡 exponential-integral 𝑧 {\displaystyle{\displaystyle\Gamma\left(0,z\right)=\int_{z}^{\infty}t^{-1}e^{-% t}\mathrm{d}t=E_{1}\left(z\right),}}


Constraint(s)

Symbols List

  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • e {\displaystyle{\displaystyle\mathrm{e}}} : base of natural logarithm
  • E 1 ⁡ ( z ) exponential-integral 𝑧 {\displaystyle{\displaystyle E_{1}\left(\NVar{z}\right)}} : exponential integral
  • Γ ⁡ ( a , z ) incomplete-Gamma 𝑎 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{a},\NVar{z}\right)}} : incomplete gamma function
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  •  Edit this on Wikidata

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