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Formula:3410

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Digital Library of Mathematical Functions ID 8.19.E26

∫ 0 ∞ E p ⁡ ( t ) ⁢ E q ⁡ ( t ) ⁢ d t = L ⁢ ( p ) + L ⁢ ( q ) p + q - 1 , superscript subscript 0 exponential-integral-En 𝑝 𝑡 exponential-integral-En 𝑞 𝑡 𝑡 𝐿 𝑝 𝐿 𝑞 𝑝 𝑞 1 {\displaystyle{\displaystyle\int_{0}^{\infty}E_{p}\left(t\right)E_{q}\left(t% \right)\mathrm{d}t=\frac{L(p)+L(q)}{p+q-1},}}


Constraint(s)

p + q > 1 𝑝 𝑞 1 {\displaystyle{\displaystyle p+q>1}}

Symbols List

  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • E p ⁡ ( z ) exponential-integral-En 𝑝 𝑧 {\displaystyle{\displaystyle E_{\NVar{p}}\left(\NVar{z}\right)}} : generalized exponential integral
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • p 𝑝 {\displaystyle{\displaystyle p}} : parameter
  • L ⁢ ( p ) 𝐿 𝑝 {\displaystyle{\displaystyle L(p)}} : function
  •  Edit this on Wikidata

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