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DLMF:18.14.E12

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Formula:6372
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MaRDI QIDQ6372

  • Label: DLMF:18.14.E12


Digital Library of Mathematical Functions ID 18.14.E12

( L n ( α ) ⁡ ( x ) ) 2 ≥ L n - 1 ( α ) ⁡ ( x ) ⁢ L n + 1 ( α ) ⁡ ( x ) , superscript Laguerre-polynomial-L 𝛼 𝑛 𝑥 2 Laguerre-polynomial-L 𝛼 𝑛 1 𝑥 Laguerre-polynomial-L 𝛼 𝑛 1 𝑥 {\displaystyle{\displaystyle(L^{(\alpha)}_{n}\left(x\right))^{2}\geq L^{(% \alpha)}_{n-1}\left(x\right)L^{(\alpha)}_{n+1}\left(x\right),}}


Constraint(s)

α ≥ 0 𝛼 0 {\displaystyle{\displaystyle\alpha\geq 0}}

Symbols List

  • L n ( α ) ⁡ ( x ) Laguerre-polynomial-L 𝛼 𝑛 𝑥 {\displaystyle{\displaystyle L^{(\NVar{\alpha})}_{\NVar{n}}\left(\NVar{x}% \right)}} : Laguerre (or generalized Laguerre) polynomial
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • x 𝑥 {\displaystyle{\displaystyle x}} : real variable
  •  Edit this on Wikidata

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