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DLMF:6.2.E16 - MaRDI portal

DLMF:6.2.E16 (Q2925)

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DLMF:6.2.E16
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    Statements

    DLMF defining formula
    Chi ⁡ ( z ) = γ + ln ⁡ z + ∫ 0 z cosh ⁡ t - 1 t ⁢ d t . hyperbolic-cosine-integral 𝑧 𝑧 superscript subscript 0 𝑧 𝑡 1 𝑡 𝑡 {\displaystyle{\displaystyle\mathrm{Chi}\left(z\right)=\gamma+\ln z+\int_{0}^{% z}\frac{\cosh t-1}{t}\mathrm{d}t.}}
    0 references
    Symbols used
    Euler’s constant
    DLMF defining formula
    γ {\displaystyle{\displaystyle\gamma}}
    xml-id
    C5.S2.E3.m2acdec
    0 references
    differential of x
    DLMF defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1akdec
    0 references
    hyperbolic cosine function
    DLMF defining formula
    cosh ⁡ z 𝑧 {\displaystyle{\displaystyle\cosh\NVar{z}}}
    xml-id
    C4.S28.E2.m2adec
    0 references
    integral
    DLMF defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3aidec
    0 references
    principal branch of logarithm function
    DLMF defining formula
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2addec
    0 references
    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C6.S1.XMD2.m1jdec
    0 references

    Identifiers

     
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