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DLMF:4.8.E9

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MaRDI QIDQ1681

  • Label: DLMF:4.8.E9


Digital Library of Mathematical Functions ID 4.8.E9

ln ⁡ ( exp ⁡ z ) = z , 𝑧 𝑧 {\displaystyle{\displaystyle\ln\left(\exp z\right)=z,}}


Constraint(s)

- π ≤ ℑ ⁡ z ≤ π 𝜋 𝑧 𝜋 {\displaystyle{\displaystyle-\pi\leq\Im z\leq\pi}}

Symbols List

  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}} : exponential function
  • ℑ ⁡ absent {\displaystyle{\displaystyle\Im}} : imaginary part
  • ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}} : principal branch of logarithm function
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
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This page was last edited on 3 March 2024, at 01:41.
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