DLMF:33.6.E3 (Q9535): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q12666 / rank
 
Normal rank
Property / Symbols used: Q12666 / qualifier
 
Defining formula:

ℓ ℓ {\displaystyle{\displaystyle\ell}}

\ell
Property / Symbols used: Q12666 / qualifier
 
xml-id: C33.S1.XMD2.m1bdec

Revision as of 14:23, 2 January 2020

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DLMF:33.6.E3
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    Statements

    Defining formula
    ( k + ℓ ) ⁢ ( k - ℓ - 1 ) ⁢ A k ℓ = 2 ⁢ η ⁢ A k - 1 ℓ - A k - 2 ℓ , 𝑘 ℓ 𝑘 ℓ 1 superscript subscript 𝐴 𝑘 ℓ 2 𝜂 superscript subscript 𝐴 𝑘 1 ℓ superscript subscript 𝐴 𝑘 2 ℓ {\displaystyle{\displaystyle(k+\ell)(k-\ell-1)A_{k}^{\ell}=2\eta A_{k-1}^{\ell% }-A_{k-2}^{\ell},}}
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    DLMF id
    DLMF:33.6.E3
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    comment
    Warning: Falling back to standard tex;
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    constraint
    k = ℓ + 3 , ℓ + 4 , … 𝑘 ℓ 3 ℓ 4 … {\displaystyle{\displaystyle k=\ell+3,\ell+4,\dots}}
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    Symbols used
    Q12669
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C33.S1.XMD1.m1bdec
    0 references
    Q12666
    Defining formula
    ℓ ℓ {\displaystyle{\displaystyle\ell}}
    xml-id
    C33.S1.XMD2.m1bdec
    0 references
     
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