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DLMF:4.6.E5

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MaRDI QIDQ1629

  • Label: DLMF:4.6.E5


Digital Library of Mathematical Functions ID 4.6.E5

ln ⁡ ( z + 1 z - 1 ) = 2 ⁢ ( 1 z + 1 3 ⁢ z 3 + 1 5 ⁢ z 5 + ⋯ ) , 𝑧 1 𝑧 1 2 1 𝑧 1 3 superscript 𝑧 3 1 5 superscript 𝑧 5 ⋯ {\displaystyle{\displaystyle\ln\left(\frac{z+1}{z-1}\right)=2\left(\frac{1}{z}% +\frac{1}{3z^{3}}+\frac{1}{5z^{5}}+\cdots\right),}}


Constraint(s)

z ≠ ± 1 𝑧 plus-or-minus 1 {\displaystyle{\displaystyle z\neq\pm 1}}

Symbols List

  • 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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