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DLMF:4.38.E16 - MaRDI portal

DLMF:4.38.E16 (Q2413)

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DLMF:4.38.E16
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    Statements

    DLMF defining formula
    Arccosh ⁡ u ± Arccosh ⁡ v = Arccosh ⁡ ( u ⁢ v ± ( ( u 2 - 1 ) ⁢ ( v 2 - 1 ) ) 1 / 2 ) , plus-or-minus multivalued-hyperbolic-inverse-cosine 𝑢 multivalued-hyperbolic-inverse-cosine 𝑣 multivalued-hyperbolic-inverse-cosine plus-or-minus 𝑢 𝑣 superscript superscript 𝑢 2 1 superscript 𝑣 2 1 1 2 {\displaystyle{\displaystyle\operatorname{Arccosh}u\pm\operatorname{Arccosh}v=% \operatorname{Arccosh}\left(uv\pm((u^{2}-1)(v^{2}-1))^{1/2}\right),}}
    0 references
    Symbols used
    general inverse hyperbolic cosine function
    DLMF defining formula
    Arccosh ⁡ z multivalued-hyperbolic-inverse-cosine 𝑧 {\displaystyle{\displaystyle\operatorname{Arccosh}\NVar{z}}}
    xml-id
    C4.S37.E2.m2adec
    0 references

    Identifiers

     
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