DLMF:18.14.E12 (Q5675): Difference between revisions

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imported>Admin
 
Property / Symbols used
 
Property / Symbols used: Q11727 / rank
 
Normal rank
Property / Symbols used: Q11727 / qualifier
 
test:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q11727 / qualifier
 
xml-id: C18.S2.XMD3.m1kdec

Latest revision as of 14:35, 2 January 2020

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DLMF:18.14.E12
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    Statements

    ( 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),}}
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    α 0 𝛼 0 {\displaystyle{\displaystyle\alpha\geq 0}}
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    L n ( α ) ( x ) Laguerre-polynomial-L 𝛼 𝑛 𝑥 {\displaystyle{\displaystyle L^{(\NVar{\alpha})}_{\NVar{n}}\left(\NVar{x}% \right)}}
    C18.S3.T1.t1.r12.m2aadec
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C18.S1.XMD6.m1idec
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    x 𝑥 {\displaystyle{\displaystyle x}}
    C18.S2.XMD3.m1kdec
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