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DLMF:4.37.E2 - MaRDI portal

DLMF:4.37.E2 (Q2323)

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DLMF:4.37.E2
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    Statements

    DLMF defining formula
    Arccosh ⁡ z = ∫ 1 z d t ( t 2 - 1 ) 1 / 2 , multivalued-hyperbolic-inverse-cosine 𝑧 superscript subscript 1 𝑧 𝑡 superscript superscript 𝑡 2 1 1 2 {\displaystyle{\displaystyle\operatorname{Arccosh}z=\int_{1}^{z}\frac{\mathrm{% d}t}{(t^{2}-1)^{1/2}},}}
    0 references
    Symbols used
    differential of x
    DLMF defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1aadec
    0 references
    integral
    DLMF defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3aadec
    0 references
    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C4.S1.XMD8.m1adec
    0 references

    Identifiers

     
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