DLMF:18.9.E14 (Q5610): 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.m2abdec

Revision as of 14:23, 2 January 2020

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DLMF:18.9.E14
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    Statements

    x L n ( α + 1 ) ( x ) = - ( n + 1 ) L n + 1 ( α ) ( x ) + ( n + α + 1 ) L n ( α ) ( x ) . 𝑥 Laguerre-polynomial-L 𝛼 1 𝑛 𝑥 𝑛 1 Laguerre-polynomial-L 𝛼 𝑛 1 𝑥 𝑛 𝛼 1 Laguerre-polynomial-L 𝛼 𝑛 𝑥 {\displaystyle{\displaystyle xL^{(\alpha+1)}_{n}\left(x\right)=-(n+1)L^{(% \alpha)}_{n+1}\left(x\right)+(n+\alpha+1)L^{(\alpha)}_{n}\left(x\right).}}
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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.m2abdec
    0 references