DLMF:18.2.E10 (Q5501): Difference between revisions

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Property / constraint
 

n ≥ 0 𝑛 0 {\displaystyle{\displaystyle n\geq 0}}

n\geq 0
Property / constraint: n ≥ 0 𝑛 0 {\displaystyle{\displaystyle n\geq 0}} / rank
 
Normal rank

Revision as of 17:59, 30 December 2019

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DLMF:18.2.E10
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    Statements

    Defining formula
    x ⁢ p n ⁢ ( x ) = a n ⁢ p n + 1 ⁢ ( x ) + b n ⁢ p n ⁢ ( x ) + c n ⁢ p n - 1 ⁢ ( x ) , 𝑥 subscript 𝑝 𝑛 𝑥 subscript 𝑎 𝑛 subscript 𝑝 𝑛 1 𝑥 subscript 𝑏 𝑛 subscript 𝑝 𝑛 𝑥 subscript 𝑐 𝑛 subscript 𝑝 𝑛 1 𝑥 {\displaystyle{\displaystyle xp_{n}(x)=a_{n}p_{n+1}(x)+b_{n}p_{n}(x)+c_{n}p_{n% -1}(x),}}
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    DLMF id
    DLMF:18.2.E10
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    comment
    Warning: Falling back to standard tex;
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    constraint
    n ≥ 0 𝑛 0 {\displaystyle{\displaystyle n\geq 0}}
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