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Formula:6370

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Digital Library of Mathematical Functions ID 18.14.E10

( 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),}}


Constraint(s)

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

Symbols List

  • P n ⁡ ( x ) Legendre-spherical-polynomial 𝑛 𝑥 {\displaystyle{\displaystyle P_{\NVar{n}}\left(\NVar{x}\right)}} : Legendre polynomial
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • x 𝑥 {\displaystyle{\displaystyle x}} : real variable
  •  Edit this on Wikidata

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