DLMF:18.18.E18 (Q5808): 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.m2addec

Revision as of 00:24, 2 January 2020

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DLMF:18.18.E18
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    Statements

    L n ( β ) ( x ) = = 0 n ( β - α ) n - ( n - ) ! L ( α ) ( x ) , Laguerre-polynomial-L 𝛽 𝑛 𝑥 superscript subscript 0 𝑛 Pochhammer 𝛽 𝛼 𝑛 𝑛 Laguerre-polynomial-L 𝛼 𝑥 {\displaystyle{\displaystyle L^{(\beta)}_{n}\left(x\right)=\sum_{\ell=0}^{n}% \frac{{\left(\beta-\alpha\right)_{n-\ell}}}{(n-\ell)!}L^{(\alpha)}_{\ell}\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.m2addec
    0 references