DLMF:29.6.E57 (Q8691): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12350 / rank
 
Normal rank
Property / Symbols used: Q12350 / qualifier
 
Defining formula:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q12350 / qualifier
 
xml-id: C29.S1.XMD8.m1acdec
Property / Symbols used
 
Property / Symbols used: Q12375 / rank
 
Normal rank
Property / Symbols used: Q12375 / qualifier
 
Defining formula:

D 2 ⁢ p subscript 𝐷 2 𝑝 {\displaystyle{\displaystyle D_{2p}}}

D_{2p}
Property / Symbols used: Q12375 / qualifier
 
xml-id: C29.S6.XMD13.m1cdec

Latest revision as of 01:20, 2 January 2020

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DLMF:29.6.E57
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    Statements

    Defining formula
    ( 1 - 1 2 ⁢ k 2 ) ⁢ ∑ p = 1 ∞ D 2 ⁢ p 2 - 1 2 ⁢ k 2 ⁢ ∑ p = 1 ∞ D 2 ⁢ p ⁢ D 2 ⁢ p + 2 = 1 , 1 1 2 superscript 𝑘 2 superscript subscript 𝑝 1 superscript subscript 𝐷 2 𝑝 2 1 2 superscript 𝑘 2 superscript subscript 𝑝 1 subscript 𝐷 2 𝑝 subscript 𝐷 2 𝑝 2 1 {\displaystyle{\displaystyle\left(1-\tfrac{1}{2}k^{2}\right)\sum_{p=1}^{\infty% }D_{2p}^{2}-\tfrac{1}{2}k^{2}\sum_{p=1}^{\infty}D_{2p}D_{2p+2}=1,}}
    0 references
    DLMF id
    DLMF:29.6.E57
    0 references
    comment
    Warning: Falling back to standard tex;
    0 references
    Symbols used
    Q12359
    Defining formula
    p 𝑝 {\displaystyle{\displaystyle p}}
    xml-id
    C29.S1.XMD3.m1ardec
    0 references
    Q12350
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C29.S1.XMD8.m1acdec
    0 references
    Q12375
    Defining formula
    D 2 ⁢ p subscript 𝐷 2 𝑝 {\displaystyle{\displaystyle D_{2p}}}
    xml-id
    C29.S6.XMD13.m1cdec
    0 references
     
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