DLMF:10.41#Ex2 (Q3602): Difference between revisions

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Property / constraint
 

k = 0 , 1 , 2 , … 𝑘 0 1 2 … {\displaystyle{\displaystyle k=0,1,2,\ldots}}

k=0,1,2,\dotsc
Property / constraint: k = 0 , 1 , 2 , … 𝑘 0 1 2 … {\displaystyle{\displaystyle k=0,1,2,\ldots}} / rank
 
Normal rank

Latest revision as of 16:39, 30 December 2019

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DLMF:10.41#Ex2
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    Statements

    test
    V k + 1 ⁢ ( p ) = U k + 1 ⁢ ( p ) - 1 2 ⁢ p ⁢ ( 1 - p 2 ) ⁢ U k ⁢ ( p ) - p 2 ⁢ ( 1 - p 2 ) ⁢ U k ′ ⁢ ( p ) , subscript 𝑉 𝑘 1 𝑝 subscript 𝑈 𝑘 1 𝑝 1 2 𝑝 1 superscript 𝑝 2 subscript 𝑈 𝑘 𝑝 superscript 𝑝 2 1 superscript 𝑝 2 superscript subscript 𝑈 𝑘 ′ 𝑝 {\displaystyle{\displaystyle V_{k+1}(p)=U_{k+1}(p)-\tfrac{1}{2}p(1-p^{2})U_{k}% (p)-p^{2}(1-p^{2})U_{k}^{\prime}(p),}}
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    DLMF id
    DLMF:10.41#Ex2
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    comment
    Warning: Falling back to standard tex;
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    constraint
    k = 0 , 1 , 2 , … 𝑘 0 1 2 … {\displaystyle{\displaystyle k=0,1,2,\ldots}}
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