DLMF:4.38.E5 (Q1955): Difference between revisions

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Property / constraint
 

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

\abs{z}\leq 1
Property / constraint: | z | 1 𝑧 1 {\displaystyle{\displaystyle\left|z\right|\leq 1}} / rank
 
Normal rank

Revision as of 16:03, 30 December 2019

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DLMF:4.38.E5
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    Statements

    arctanh z = z + z 3 3 + z 5 5 + z 7 7 + , hyperbolic-inverse-tangent 𝑧 𝑧 superscript 𝑧 3 3 superscript 𝑧 5 5 superscript 𝑧 7 7 {\displaystyle{\displaystyle\operatorname{arctanh}z=z+\frac{z^{3}}{3}+\frac{z^% {5}}{5}+\frac{z^{7}}{7}+\cdots,}}
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    | z | 1 𝑧 1 {\displaystyle{\displaystyle\left|z\right|\leq 1}}
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