DLMF:25.10.E3 (Q7673): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12151 / rank
 
Normal rank
Property / Symbols used: Q12151 / qualifier
 
Defining formula:

m 𝑚 {\displaystyle{\displaystyle m}}

m
Property / Symbols used: Q12151 / qualifier
 
xml-id: C25.S1.XMD2.m1dec

Revision as of 13:35, 2 January 2020

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DLMF:25.10.E3
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    Statements

    Defining formula
    Z ⁢ ( t ) = 2 ⁢ ∑ n = 1 m cos ⁡ ( ϑ ⁢ ( t ) - t ⁢ ln ⁡ n ) n 1 / 2 + R ⁢ ( t ) , 𝑍 𝑡 2 superscript subscript 𝑛 1 𝑚 italic-ϑ 𝑡 𝑡 𝑛 superscript 𝑛 1 2 𝑅 𝑡 {\displaystyle{\displaystyle Z(t)=2\sum_{n=1}^{m}\frac{\cos\left(\vartheta(t)-% t\ln n\right)}{n^{1/2}}+R(t),}}
    0 references
    DLMF id
    DLMF:25.10.E3
    0 references
    Symbols used
    cosine function
    Defining formula
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2adec
    0 references
    principal branch of logarithm function
    Defining formula
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2aadec
    0 references
    Q12151
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C25.S1.XMD2.m1dec
    0 references
     
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