Formula:1623

Digital Library of Mathematical Functions ID 4.6.E2

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

Constraint(s)

${\displaystyle{\displaystyle\Re z\geq\frac{1}{2}}}$

Symbols List

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

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