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

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
(3 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q12669 / rank
 
Normal rank
Property / Symbols used: Q12669 / qualifier
 
Defining formula:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q12669 / qualifier
 
xml-id: C33.S1.XMD1.m1bdec
Property / Symbols used
 
Property / Symbols used: Q12666 / rank
 
Normal rank
Property / Symbols used: Q12666 / qualifier
 
Defining formula:

{\displaystyle{\displaystyle\ell}}

\ell
Property / Symbols used: Q12666 / qualifier
 
xml-id: C33.S1.XMD2.m1bdec
Property / Symbols used
 
Property / Symbols used: Q12668 / rank
 
Normal rank
Property / Symbols used: Q12668 / qualifier
 
Defining formula:

η 𝜂 {\displaystyle{\displaystyle\eta}}

\eta
Property / Symbols used: Q12668 / qualifier
 
xml-id: C33.S1.XMD7.m1bdec
Property / Symbols used
 
Property / Symbols used: Q12675 / rank
 
Normal rank
Property / Symbols used: Q12675 / qualifier
 
Defining formula:

A + 1 superscript subscript 𝐴 1 {\displaystyle{\displaystyle A_{\ell+1}^{\ell}}}

A_{\ell+1}^{\ell}
Property / Symbols used: Q12675 / qualifier
 
xml-id: C33.S6.XMD1.m1bdec

Latest revision as of 14:23, 2 January 2020

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DLMF:33.6.E3
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    Statements

    ( k + ) ( k - - 1 ) A k = 2 η A k - 1 - A k - 2 , 𝑘 𝑘 1 superscript subscript 𝐴 𝑘 2 𝜂 superscript subscript 𝐴 𝑘 1 superscript subscript 𝐴 𝑘 2 {\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:33.6.E3
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    Warning: Falling back to standard tex;
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    k = + 3 , + 4 , 𝑘 3 4 {\displaystyle{\displaystyle k=\ell+3,\ell+4,\dots}}
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    k 𝑘 {\displaystyle{\displaystyle k}}
    C33.S1.XMD1.m1bdec
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    {\displaystyle{\displaystyle\ell}}
    C33.S1.XMD2.m1bdec
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    η 𝜂 {\displaystyle{\displaystyle\eta}}
    C33.S1.XMD7.m1bdec
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    A + 1 superscript subscript 𝐴 1 {\displaystyle{\displaystyle A_{\ell+1}^{\ell}}}
    C33.S6.XMD1.m1bdec
    0 references