DLMF:5.19.E3 (Q2203): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: principal branch of logarithm function / rank
 
Normal rank
Property / Symbols used: principal branch of logarithm function / qualifier
 
test:

ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}

\ln@@{\NVar{z}}
Property / Symbols used: principal branch of logarithm function / qualifier
 
xml-id: C4.S2.E2.m2adec

Latest revision as of 01:11, 2 January 2020

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DLMF:5.19.E3
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    Statements

    test
    S = ψ ⁡ ( 1 2 ) - 2 ⁢ ψ ⁡ ( 2 3 ) - γ = 3 ⁢ ln ⁡ 3 - 2 ⁢ ln ⁡ 2 - 1 3 ⁢ π ⁢ 3 . 𝑆 digamma 1 2 2 digamma 2 3 3 3 2 2 1 3 𝜋 3 {\displaystyle{\displaystyle S=\psi\left(\tfrac{1}{2}\right)-2\psi\left(\tfrac% {2}{3}\right)-\gamma=3\ln 3-2\ln 2-\tfrac{1}{3}\pi\sqrt{3}.}}
    0 references
    DLMF id
    DLMF:5.19.E3
    0 references
    Symbols used
    Euler’s constant
    test
    γ {\displaystyle{\displaystyle\gamma}}
    xml-id
    C5.S2.E3.m2adec
    0 references
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2adec
    0 references
    psi (or digamma) function
    test
    ψ ⁡ ( z ) digamma 𝑧 {\displaystyle{\displaystyle\psi\left(\NVar{z}\right)}}
    xml-id
    C5.S2.E2.m2adec
    0 references
    principal branch of logarithm function
    test
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2adec
    0 references
     
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