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DLMF:4.38.E15 - MaRDI portal

DLMF:4.38.E15 (Q2411)

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DLMF:4.38.E15
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    Statements

    DLMF defining formula
    Arcsinh ⁡ u ± Arcsinh ⁡ v = Arcsinh ⁡ ( u ⁢ ( 1 + v 2 ) 1 / 2 ± v ⁢ ( 1 + u 2 ) 1 / 2 ) , plus-or-minus multivalued-hyperbolic-inverse-sine 𝑢 multivalued-hyperbolic-inverse-sine 𝑣 multivalued-hyperbolic-inverse-sine plus-or-minus 𝑢 superscript 1 superscript 𝑣 2 1 2 𝑣 superscript 1 superscript 𝑢 2 1 2 {\displaystyle{\displaystyle\operatorname{Arcsinh}u\pm\operatorname{Arcsinh}v=% \operatorname{Arcsinh}\left(u(1+v^{2})^{1/2}\pm v(1+u^{2})^{1/2}\right),}}
    0 references
    Symbols used
    general inverse hyperbolic sine function
    DLMF defining formula
    Arcsinh ⁡ z multivalued-hyperbolic-inverse-sine 𝑧 {\displaystyle{\displaystyle\operatorname{Arcsinh}\NVar{z}}}
    xml-id
    C4.S37.E1.m2adec
    0 references

    Identifiers

     
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