DLMF:27.7.E3 (Q8043): Difference between revisions

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‎Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: Q12237 / rank
 
Normal rank
Property / Symbols used: Q12237 / qualifier
 
Defining formula:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q12237 / qualifier
 
xml-id: C27.S1.XMD6.m1bdec

Latest revision as of 14:20, 2 January 2020

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DLMF:27.7.E3
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    Statements

    Defining formula
    ∑ n = 1 ∞ μ ⁡ ( n ) ⁢ x n 1 - x n = x , superscript subscript 𝑛 1 Moebius-mu 𝑛 superscript 𝑥 𝑛 1 superscript 𝑥 𝑛 𝑥 {\displaystyle{\displaystyle\sum_{n=1}^{\infty}\mu\left(n\right)\frac{x^{n}}{1% -x^{n}}=x,}}
    0 references
    DLMF id
    DLMF:27.7.E3
    0 references
    constraint
    | x | < 1 𝑥 1 {\displaystyle{\displaystyle|x|<1}}
    0 references
    Symbols used
    Möbius function
    Defining formula
    μ ⁡ ( n ) Moebius-mu 𝑛 {\displaystyle{\displaystyle\mu\left(\NVar{n}\right)}}
    xml-id
    C27.S2.E12.m2adec
    0 references
    Q12234
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C27.S1.XMD4.m1bdec
    0 references
    Q12237
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C27.S1.XMD6.m1bdec
    0 references
     
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