Formula:2079

Digital Library of Mathematical Functions ID 4.24.E5

${\displaystyle{\displaystyle\operatorname{arctan}z=\frac{z}{z^{2}+1}\*\left(1+\frac{2}{3}\frac{z^{2}}{1+z^{2}}+\frac{2\cdot 4}{3\cdot 5}\left(\frac{z^{2}}{1+z^{2}}\right)^{2}+\cdots\right),}}$

Constraint(s)

${\displaystyle{\displaystyle\Re(z^{2})>-\tfrac{1}{2}}}$

Symbols List

• ${\displaystyle{\displaystyle\operatorname{arctan}\NVar{z}}}$:
• ${\displaystyle{\displaystyle\Re}}$: real part
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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