DLMF:4.24.E3 (Q1797)

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Language	Label	Description	Also known as
English	DLMF:4.24.E3	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\operatorname{arctan}z=z-\frac{z^{3}}{3}+\frac{z^{% 5}}{5}-\frac{z^{7}}{7}+\cdots,}}

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DLMF:4.24.E3

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{\displaystyle{\displaystyle\left|z\right|\leq 1}}

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{\displaystyle{\displaystyle z\neq\pm\mathrm{i}}}

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Defining formula

{\displaystyle{\displaystyle\mathrm{i}}}

C1.S9.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle\operatorname{arctan}\NVar{z}}}

C4.S23.SS2.p1.m7adec

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Sitelinks

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