DLMF:28.26.E3 (Q8419)

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DLMF:28.26.E3
No description defined

    Statements

    Defining formula
    ϕ = 2 ⁢ h ⁢ sinh ⁡ z - ( m + 1 2 ) ⁢ arctan ⁡ ( sinh ⁡ z ) . italic-ϕ 2 ℎ 𝑧 𝑚 1 2 𝑧 {\displaystyle{\displaystyle\phi=2h\sinh z-\left(m+\tfrac{1}{2}\right)% \operatorname{arctan}\left(\sinh z\right).}}
    0 references
    DLMF id
    DLMF:28.26.E3
    0 references
    Symbols used
    hyperbolic sine function
    Defining formula
    sinh ⁡ z 𝑧 {\displaystyle{\displaystyle\sinh\NVar{z}}}
    xml-id
    C4.S28.E1.m2adec
    0 references
    Q10816
    Defining formula
    arctan ⁡ z 𝑧 {\displaystyle{\displaystyle\operatorname{arctan}\NVar{z}}}
    xml-id
    C4.S23.SS2.p1.m7adec
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    Q12284
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C28.S1.XMD1.m1bdec
    0 references
    Q12294
    Defining formula
    h ℎ {\displaystyle{\displaystyle h}}
    xml-id
    C28.S1.XMD11.m1bdec
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    Q12272
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C28.S1.XMD6.m1bdec
    0 references
    Q12310
    Defining formula
    ϕ italic-ϕ {\displaystyle{\displaystyle\phi}}
    xml-id
    C28.S26.XMD1.m1bdec
    0 references
     
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