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DLMF:6.4.E1

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Formula:2932
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MaRDI QIDQ2932

  • Label: DLMF:6.4.E1


Digital Library of Mathematical Functions ID 6.4.E1

E 1 ⁡ ( z ) = Ein ⁡ ( z ) - Ln ⁡ z - γ ; exponential-integral 𝑧 complementary-exponential-integral 𝑧 multivalued-natural-logarithm 𝑧 {\displaystyle{\displaystyle E_{1}\left(z\right)=\mathrm{Ein}\left(z\right)-% \operatorname{Ln}z-\gamma;}}


Constraint(s)

Symbols List

  • γ {\displaystyle{\displaystyle\gamma}} : Euler’s constant
  • Ein ⁡ ( z ) complementary-exponential-integral 𝑧 {\displaystyle{\displaystyle\mathrm{Ein}\left(\NVar{z}\right)}} : complementary exponential integral
  • E 1 ⁡ ( z ) exponential-integral 𝑧 {\displaystyle{\displaystyle E_{1}\left(\NVar{z}\right)}} : exponential integral
  • Ln ⁡ z multivalued-natural-logarithm 𝑧 {\displaystyle{\displaystyle\operatorname{Ln}\NVar{z}}} : general logarithm function
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
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