Formula:2077

Digital Library of Mathematical Functions ID 4.24.E4

${\displaystyle{\displaystyle\operatorname{arctan}z=\pm\frac{\pi}{2}-\frac{1}{z}+\frac{1}{3z^{3}}-\frac{1}{5z^{5}}+\cdots,}}$

Constraint(s)

${\displaystyle{\displaystyle\Re z\gtrless 0}}$
${\displaystyle{\displaystyle\Re z\gtrless 0}}$
${\displaystyle{\displaystyle|z|\geq 1}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\operatorname{arctan}\NVar{z}}}$:
• ${\displaystyle{\displaystyle\Re}}$: real part
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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