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

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: Q11727 / rank
 
Normal rank
Property / Symbols used: Q11727 / qualifier
 
Defining formula:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q11727 / qualifier
 
xml-id: C18.S2.XMD3.m1idec

Latest revision as of 15:35, 2 January 2020

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DLMF:18.14.E10
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    Statements

    Defining formula
    ( 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),}}
    0 references
    DLMF id
    DLMF:18.14.E10
    0 references
    constraint
    - 1 ≤ x ≤ 1 1 𝑥 1 {\displaystyle{\displaystyle-1\leq x\leq 1}}
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    Symbols used
    Q10920
    Defining formula
    P n ⁡ ( x ) Legendre-spherical-polynomial 𝑛 𝑥 {\displaystyle{\displaystyle P_{\NVar{n}}\left(\NVar{x}\right)}}
    xml-id
    C18.S3.T1.t1.r10.m2adec
    0 references
    Q11726
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1gdec
    0 references
    Q11727
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1idec
    0 references
     
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