DLMF:30.3.E10 (Q8839): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q12408 / rank
 
Normal rank
Property / Symbols used: Q12408 / qualifier
 
Defining formula:

m 𝑚 {\displaystyle{\displaystyle m}}

m
Property / Symbols used: Q12408 / qualifier
 
xml-id: C30.S1.XMD4.m1hdec

Revision as of 01:41, 2 January 2020

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DLMF:30.3.E10
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    Statements

    6 = ( 4 m 2 - 1 ) ( ( n - m + 1 ) ( n - m + 2 ) ( n + m + 1 ) ( n + m + 2 ) ( 2 n - 1 ) ( 2 n + 1 ) ( 2 n + 3 ) 5 ( 2 n + 5 ) ( 2 n + 7 ) - ( n - m - 1 ) ( n - m ) ( n + m - 1 ) ( n + m ) ( 2 n - 5 ) ( 2 n - 3 ) ( 2 n - 1 ) 5 ( 2 n + 1 ) ( 2 n + 3 ) ) , subscript 6 4 superscript 𝑚 2 1 𝑛 𝑚 1 𝑛 𝑚 2 𝑛 𝑚 1 𝑛 𝑚 2 2 𝑛 1 2 𝑛 1 superscript 2 𝑛 3 5 2 𝑛 5 2 𝑛 7 𝑛 𝑚 1 𝑛 𝑚 𝑛 𝑚 1 𝑛 𝑚 2 𝑛 5 2 𝑛 3 superscript 2 𝑛 1 5 2 𝑛 1 2 𝑛 3 {\displaystyle{\displaystyle\ell_{6}=(4m^{2}-1)\left(\frac{(n-m+1)(n-m+2)(n+m+% 1)(n+m+2)}{(2n-1)(2n+1)(2n+3)^{5}(2n+5)(2n+7)}-\frac{(n-m-1)(n-m)(n+m-1)(n+m)}% {(2n-5)(2n-3)(2n-1)^{5}(2n+1)(2n+3)}\right),}}
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    DLMF:30.3.E10
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    Warning: Falling back to standard tex;
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    m 𝑚 {\displaystyle{\displaystyle m}}
    C30.S1.XMD4.m1hdec
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