DLMF:18.14.E24 (Q5690): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11333 / rank
 
Normal rank
Property / Symbols used: Q11333 / qualifier
 
test:

L n ( α ) ⁡ ( x ) Laguerre-polynomial-L 𝛼 𝑛 𝑥 {\displaystyle{\displaystyle L^{(\NVar{\alpha})}_{\NVar{n}}\left(\NVar{x}% \right)}}

\LaguerrepolyL[\NVar{\alpha}]{\NVar{n}}@{\NVar{x}}
Property / Symbols used: Q11333 / qualifier
 
xml-id: C18.S3.T1.t1.r12.m2acdec
Property / Symbols used
 
Property / Symbols used: Q11726 / rank
 
Normal rank
Property / Symbols used: Q11726 / qualifier
 
test:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q11726 / qualifier
 
xml-id: C18.S1.XMD6.m1udec
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.m1wdec

Latest revision as of 14:36, 2 January 2020

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DLMF:18.14.E24
No description defined

    Statements

    test
    | L n ( α ) ⁡ ( x n , 0 ) | < | L n ( α ) ⁡ ( x n , 1 ) | < ⋯ < | L n ( α ) ⁡ ( x n , n - 1 ) | . Laguerre-polynomial-L 𝛼 𝑛 subscript 𝑥 𝑛 0 Laguerre-polynomial-L 𝛼 𝑛 subscript 𝑥 𝑛 1 ⋯ Laguerre-polynomial-L 𝛼 𝑛 subscript 𝑥 𝑛 𝑛 1 {\displaystyle{\displaystyle|L^{(\alpha)}_{n}\left(x_{n,0}\right)|<|L^{(\alpha% )}_{n}\left(x_{n,1}\right)|<\cdots<|L^{(\alpha)}_{n}\left(x_{n,n-1}\right)|.}}
    0 references
    DLMF id
    DLMF:18.14.E24
    0 references
    Symbols used
    Q11333
    test
    L n ( α ) ⁡ ( x ) Laguerre-polynomial-L 𝛼 𝑛 𝑥 {\displaystyle{\displaystyle L^{(\NVar{\alpha})}_{\NVar{n}}\left(\NVar{x}% \right)}}
    xml-id
    C18.S3.T1.t1.r12.m2acdec
    0 references
    Q11726
    test
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1udec
    0 references
    Q11727
    test
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1wdec
    0 references
     
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