DLMF:25.12.E1 (Q7720): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12152 / rank
 
Normal rank
Property / Symbols used: Q12152 / qualifier
 
Defining formula:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q12152 / qualifier
 
xml-id: C25.S1.XMD5.m1dec
Property / Symbols used
 
Property / Symbols used: Q12156 / rank
 
Normal rank
Property / Symbols used: Q12156 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q12156 / qualifier
 
xml-id: C25.S1.XMD8.m1dec

Latest revision as of 13:47, 2 January 2020

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English
DLMF:25.12.E1
No description defined

    Statements

    Defining formula
    Li 2 ⁡ ( z ) ≡ ∑ n = 1 ∞ z n n 2 , equal-by definition dilogarithm 𝑧 superscript subscript 𝑛 1 superscript 𝑧 𝑛 superscript 𝑛 2 {\displaystyle{\displaystyle\mathrm{Li}_{2}\left(z\right)\equiv\sum_{n=1}^{% \infty}\frac{z^{n}}{n^{2}},}}
    0 references
    DLMF id
    DLMF:25.12.E1
    0 references
    constraint
    | z | ≤ 1 𝑧 1 {\displaystyle{\displaystyle|z|\leq 1}}
    0 references
    Symbols used
    Q10769
    Defining formula
    ≡ equal-by definition {\displaystyle{\displaystyle\equiv}}
    xml-id
    introduction.Sx4.p1.t1.r9.m2adec
    0 references
    Q12148
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C25.S1.XMD3.m1dec
    0 references
    Q12152
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C25.S1.XMD5.m1dec
    0 references
    Q12156
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C25.S1.XMD8.m1dec
    0 references
     
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