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Formula:3394

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Digital Library of Mathematical Functions ID 8.19.E10

E p ⁡ ( z ) = z p - 1 ⁢ Γ ⁡ ( 1 - p ) - ∑ k = 0 ∞ ( - z ) k k ! ⁢ ( 1 - p + k ) , exponential-integral-En 𝑝 𝑧 superscript 𝑧 𝑝 1 Euler-Gamma 1 𝑝 superscript subscript 𝑘 0 superscript 𝑧 𝑘 𝑘 1 𝑝 𝑘 {\displaystyle{\displaystyle E_{p}\left(z\right)=z^{p-1}\Gamma\left(1-p\right)% -\sum_{k=0}^{\infty}\frac{(-z)^{k}}{k!(1-p+k)},}}


Constraint(s)

Symbols List

  • Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}} : gamma function
  • E p ⁡ ( z ) exponential-integral-En 𝑝 𝑧 {\displaystyle{\displaystyle E_{\NVar{p}}\left(\NVar{z}\right)}} : generalized exponential integral
  • ! {\displaystyle{\displaystyle!}} :
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • p 𝑝 {\displaystyle{\displaystyle p}} : parameter
  • k 𝑘 {\displaystyle{\displaystyle k}} : nonnegative integer
  •  Edit this on Wikidata

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