DLMF:4.38.E6 (Q1956)

From DRMF
Revision as of 17:03, 30 December 2019 by Admin (talk | contribs) (‎Changed an Item: Add constraint)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:4.38.E6
No description defined

    Statements

    Defining formula
    arctanh ⁡ z = ± i ⁢ π 2 + 1 z + 1 3 ⁢ z 3 + 1 5 ⁢ z 5 + ⋯ , hyperbolic-inverse-tangent 𝑧 plus-or-minus imaginary-unit 𝜋 2 1 𝑧 1 3 superscript 𝑧 3 1 5 superscript 𝑧 5 ⋯ {\displaystyle{\displaystyle\operatorname{arctanh}z=\pm\mathrm{i}\frac{\pi}{2}% +\frac{1}{z}+\frac{1}{3z^{3}}+\frac{1}{5z^{5}}+\cdots,}}
    0 references
    DLMF id
    DLMF:4.38.E6
    0 references
    constraint
    ℑ ⁡ z ≷ 0 greater-than-or-less-than 𝑧 0 {\displaystyle{\displaystyle\Im z\gtrless 0}}
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q1956&oldid=17942"