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DLMF:4.12.E7 - MaRDI portal

DLMF:4.12.E7 (Q1751)

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DLMF:4.12.E7
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    Statements

    DLMF defining formula
    ϕ ⁢ ( x ) = exp ⁡ ⋯ ⁢ exp ⏟ ⌊ x ⌋ ⁢  times ⁢ ( x - ⌊ x ⌋ ) , italic-ϕ 𝑥 subscript ⏟ ⋯ 𝑥  times 𝑥 𝑥 {\displaystyle{\displaystyle\phi(x)=\underbrace{\exp\cdots\exp}_{\left\lfloor x% \right\rfloor\text{ times}}(x-\left\lfloor x\right\rfloor),}}
    0 references
    constraint
    x > 1 𝑥 1 {\displaystyle{\displaystyle x>1}}
    0 references
    Symbols used
    exponential function
    DLMF defining formula
    exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}}
    xml-id
    C4.S2.E19.m2adec
    0 references
    Q11140
    DLMF defining formula
    ⌊ x ⌋ 𝑥 {\displaystyle{\displaystyle\left\lfloor\NVar{x}\right\rfloor}}
    xml-id
    introduction.Sx4.p1.t1.r17.m4adec
    0 references
    real variable
    DLMF defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C4.S1.XMD6.m1ddec
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    generalized exponential
    DLMF defining formula
    ϕ ⁢ ( z ) italic-ϕ 𝑧 {\displaystyle{\displaystyle\phi(z)}}
    xml-id
    C4.S12.XMD1.m1ddec
    0 references

    Identifiers

     
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