Formula:1631

Digital Library of Mathematical Functions ID 4.6.E6

${\displaystyle{\displaystyle\ln\left(z+a\right)=\ln a+2\left(\left(\frac{z}{2a+z}\right)+\frac{1}{3}\left(\frac{z}{2a+z}\right)^{3}+\frac{1}{5}\left(\frac{z}{2a+z}\right)^{5}+\cdots\right),}}$

Constraint(s)

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

Symbols List

• ${\displaystyle{\displaystyle\ln\NVar{z}}}$: principal branch of logarithm function
• ${\displaystyle{\displaystyle\Re}}$: real part
• ${\displaystyle{\displaystyle a}}$: real or complex constant
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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