DLMF:4.6.E6 (Q1575): Difference between revisions

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

z - a 𝑧 𝑎 {\displaystyle{\displaystyle\Re z\geq-a}}

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

Revision as of 16:59, 30 December 2019

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DLMF:4.6.E6
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    Statements

    ln ( z + a ) = ln a + 2 ( ( z 2 a + z ) + 1 3 ( z 2 a + z ) 3 + 1 5 ( z 2 a + z ) 5 + ) , 𝑧 𝑎 𝑎 2 𝑧 2 𝑎 𝑧 1 3 superscript 𝑧 2 𝑎 𝑧 3 1 5 superscript 𝑧 2 𝑎 𝑧 5 {\displaystyle{\displaystyle\ln\left(z+a\right)=\ln a+2\left(\left(\frac{z}{2a% +z}\right)+\frac{1}{3}\left(\frac{z}{2a+z}\right)^{3}+\frac{1}{5}\left(\frac{z% }{2a+z}\right)^{5}+\cdots\right),}}
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    DLMF:4.6.E6
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    z - a 𝑧 𝑎 {\displaystyle{\displaystyle\Re z\geq-a}}
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    z - a 𝑧 𝑎 {\displaystyle{\displaystyle\Re z\geq-a}}
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