DLMF:33.9.E5 (Q9555): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: Q12682 / rank
 
Normal rank
Property / Symbols used: Q12682 / qualifier
 
Defining formula:

b k subscript 𝑏 𝑘 {\displaystyle{\displaystyle b_{k}}}

b_{k}
Property / Symbols used: Q12682 / qualifier
 
xml-id: C33.S9.XMD3.m1bdec

Latest revision as of 14:27, 2 January 2020

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DLMF:33.9.E5
No description defined

    Statements

    Defining formula
    4 ⁢ η 2 ⁢ ( k - 2 ⁢ ℓ ) ⁢ b k + 1 + k ⁢ b k - 1 + b k - 2 = 0 , 4 superscript 𝜂 2 𝑘 2 ℓ subscript 𝑏 𝑘 1 𝑘 subscript 𝑏 𝑘 1 subscript 𝑏 𝑘 2 0 {\displaystyle{\displaystyle{4\eta^{2}(k-2\ell)b_{k+1}+kb_{k-1}+b_{k-2}=0},}}
    0 references
    DLMF id
    DLMF:33.9.E5
    0 references
    comment
    Warning: Falling back to standard tex;
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    constraint
    k = 2 ⁢ ℓ + 2 , 2 ⁢ ℓ + 3 , … 𝑘 2 ℓ 2 2 ℓ 3 … {\displaystyle{\displaystyle k=2\ell+2,2\ell+3,\dots}}
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    Symbols used
    Q12669
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C33.S1.XMD1.m1ddec
    0 references
    Q12666
    Defining formula
    ℓ ℓ {\displaystyle{\displaystyle\ell}}
    xml-id
    C33.S1.XMD2.m1ddec
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    Q12668
    Defining formula
    η 𝜂 {\displaystyle{\displaystyle\eta}}
    xml-id
    C33.S1.XMD7.m1ddec
    0 references
    Q12682
    Defining formula
    b k subscript 𝑏 𝑘 {\displaystyle{\displaystyle b_{k}}}
    xml-id
    C33.S9.XMD3.m1bdec
    0 references
     
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