DLMF:4.6.E4 (Q1573)

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DLMF:4.6.E4
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    Defining formula
    ln ⁡ z = 2 ⁢ ( ( z - 1 z + 1 ) + 1 3 ⁢ ( z - 1 z + 1 ) 3 + 1 5 ⁢ ( z - 1 z + 1 ) 5 + ⋯ ) , 𝑧 2 𝑧 1 𝑧 1 1 3 superscript 𝑧 1 𝑧 1 3 1 5 superscript 𝑧 1 𝑧 1 5 ⋯ {\displaystyle{\displaystyle\ln z=2\left(\left(\frac{z-1}{z+1}\right)+\frac{1}% {3}\left(\frac{z-1}{z+1}\right)^{3}+\frac{1}{5}\left(\frac{z-1}{z+1}\right)^{5% }+\cdots\right),}}
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    DLMF id
    DLMF:4.6.E4
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