DLMF:18.14.E10 (Q5673): Difference between revisions

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Property / constraint
 

- 1 x 1 1 𝑥 1 {\displaystyle{\displaystyle-1\leq x\leq 1}}

-1\leq x\leq 1
Property / constraint: - 1 x 1 1 𝑥 1 {\displaystyle{\displaystyle-1\leq x\leq 1}} / rank
 
Normal rank

Revision as of 17:00, 30 December 2019

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DLMF:18.14.E10
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    Statements

    ( P n ( x ) ) 2 P n - 1 ( x ) P n + 1 ( x ) , superscript Legendre-spherical-polynomial 𝑛 𝑥 2 Legendre-spherical-polynomial 𝑛 1 𝑥 Legendre-spherical-polynomial 𝑛 1 𝑥 {\displaystyle{\displaystyle(P_{n}\left(x\right))^{2}\geq P_{n-1}\left(x\right% )P_{n+1}\left(x\right),}}
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    - 1 x 1 1 𝑥 1 {\displaystyle{\displaystyle-1\leq x\leq 1}}
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