Formula:1699

Digital Library of Mathematical Functions ID 4.9.E1

${\displaystyle{\displaystyle\ln\left(1+z\right)=\cfrac{z}{1+\cfrac{z}{2+\cfrac{z}{3+\cfrac{4z}{4+\cfrac{4z}{5+\cfrac{9z}{6+\cfrac{9z}{7+}}}}}}}\cdots,}}$

Constraint(s)

${\displaystyle{\displaystyle|\operatorname{ph}\left(1+z\right)|<\pi}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\ln\NVar{z}}}$: principal branch of logarithm function
• ${\displaystyle{\displaystyle\operatorname{ph}}}$: phase
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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