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DLMF:4.35.E12 - MaRDI portal

DLMF:4.35.E12 (Q2253)

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DLMF:4.35.E12
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    Statements

    DLMF defining formula
    sech 2 ⁡ z = 1 - tanh 2 ⁡ z , 2 𝑧 1 2 𝑧 {\displaystyle{\displaystyle{\operatorname{sech}^{2}}z=1-{\tanh^{2}}z,}}
    0 references
    Symbols used
    hyperbolic secant function
    DLMF defining formula
    sech ⁡ z 𝑧 {\displaystyle{\displaystyle\operatorname{sech}\NVar{z}}}
    xml-id
    C4.S28.E6.m2adec
    0 references
    hyperbolic tangent function
    DLMF defining formula
    tanh ⁡ z 𝑧 {\displaystyle{\displaystyle\tanh\NVar{z}}}
    xml-id
    C4.S28.E4.m2abdec
    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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