DLMF:18.18.E37 (Q5827): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
(2 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q11744 / rank
 
Normal rank
Property / Symbols used: Q11744 / qualifier
 
Defining formula:

{\displaystyle{\displaystyle\ell}}

\ell
Property / Symbols used: Q11744 / qualifier
 
xml-id: C18.S1.XMD4.m1xdec
Property / Symbols used
 
Property / Symbols used: Q11726 / rank
 
Normal rank
Property / Symbols used: Q11726 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q11726 / qualifier
 
xml-id: C18.S1.XMD6.m1ajdec
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.m1afdec

Latest revision as of 01:28, 2 January 2020

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DLMF:18.18.E37
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    Statements

    = 0 n L ( α ) ( x ) = L n ( α + 1 ) ( x ) , superscript subscript 0 𝑛 Laguerre-polynomial-L 𝛼 𝑥 Laguerre-polynomial-L 𝛼 1 𝑛 𝑥 {\displaystyle{\displaystyle\sum_{\ell=0}^{n}L^{(\alpha)}_{\ell}\left(x\right)% =L^{(\alpha+1)}_{n}\left(x\right),}}
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    DLMF:18.18.E37
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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.m2agdec
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    {\displaystyle{\displaystyle\ell}}
    C18.S1.XMD4.m1xdec
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C18.S1.XMD6.m1ajdec
    0 references
    x 𝑥 {\displaystyle{\displaystyle x}}
    C18.S2.XMD3.m1afdec
    0 references