DLMF:4.6.E4 (Q1573): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
Property / constraint
 

z 0 𝑧 0 {\displaystyle{\displaystyle\Re z\geq 0}}

\Re z\geq 0
Property / constraint: z 0 𝑧 0 {\displaystyle{\displaystyle\Re z\geq 0}} / rank
 
Normal rank

Revision as of 16:59, 30 December 2019

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DLMF:4.6.E4
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    Statements

    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:4.6.E4
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    z 0 𝑧 0 {\displaystyle{\displaystyle\Re z\geq 0}}
    0 references
    z 0 𝑧 0 {\displaystyle{\displaystyle\Re z\geq 0}}
    0 references