DLMF:25.11.E40 (Q7714): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12148 / rank
 
Normal rank
Property / Symbols used: Q12148 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q12148 / qualifier
 
xml-id: C25.S1.XMD3.m1vdec
Property / Symbols used
 
Property / Symbols used: Q12166 / rank
 
Normal rank
Property / Symbols used: Q12166 / qualifier
 
Defining formula:

G 𝐺 {\displaystyle{\displaystyle G}}

G
Property / Symbols used: Q12166 / qualifier
 
xml-id: C25.S11.XMD5.m1adec

Latest revision as of 13:46, 2 January 2020

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DLMF:25.11.E40
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    Statements

    Defining formula
    G ≡ ∑ n = 0 ∞ ( - 1 ) n ( 2 ⁢ n + 1 ) 2 = 0.91596 55941 772 ⁢ … . equal-by definition 𝐺 superscript subscript 𝑛 0 superscript 1 𝑛 superscript 2 𝑛 1 2 0.91596 55941 772 … {\displaystyle{\displaystyle G\equiv\sum_{n=0}^{\infty}\frac{(-1)^{n}}{(2n+1)^% {2}}=0.91596\;55941\;772\dots.}}
    0 references
    DLMF id
    DLMF:25.11.E40
    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.m1vdec
    0 references
    Q12166
    Defining formula
    G 𝐺 {\displaystyle{\displaystyle G}}
    xml-id
    C25.S11.XMD5.m1adec
    0 references
     
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