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Formula:2940

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Digital Library of Mathematical Functions ID 6.5.E2

Ei ⁡ ( x ) = - 1 2 ⁢ ( E 1 ⁡ ( - x + i ⁢ 0 ) + E 1 ⁡ ( - x - i ⁢ 0 ) ) , exponential-integral-Ei 𝑥 1 2 exponential-integral 𝑥 𝑖 0 exponential-integral 𝑥 𝑖 0 {\displaystyle{\displaystyle\mathrm{Ei}\left(x\right)=-\tfrac{1}{2}(E_{1}\left% (-x+i0\right)+E_{1}\left(-x-i0\right)),}}


Constraint(s)

Symbols List

  • E 1 ⁡ ( z ) exponential-integral 𝑧 {\displaystyle{\displaystyle E_{1}\left(\NVar{z}\right)}} : exponential integral
  • Ei ⁡ ( x ) exponential-integral-Ei 𝑥 {\displaystyle{\displaystyle\mathrm{Ei}\left(\NVar{x}\right)}} :
  • i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}} : imaginary unit
  • x 𝑥 {\displaystyle{\displaystyle x}} : real variable
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This page was last edited on 28 January 2024, at 10:30.
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