DLMF:18.14.E8 (Q5671): Difference between revisions

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Property / constraint
 

α 0 𝛼 0 {\displaystyle{\displaystyle\alpha\geq 0}}

\alpha\geq 0
Property / constraint: α 0 𝛼 0 {\displaystyle{\displaystyle\alpha\geq 0}} / rank
 
Normal rank

Revision as of 17:00, 30 December 2019

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DLMF:18.14.E8
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    Statements

    e - 1 2 x | L n ( α ) ( x ) | L n ( α ) ( 0 ) = ( α + 1 ) n n ! , superscript 𝑒 1 2 𝑥 Laguerre-polynomial-L 𝛼 𝑛 𝑥 Laguerre-polynomial-L 𝛼 𝑛 0 Pochhammer 𝛼 1 𝑛 𝑛 {\displaystyle{\displaystyle e^{-\frac{1}{2}x}\left|L^{(\alpha)}_{n}\left(x% \right)\right|\leq L^{(\alpha)}_{n}\left(0\right)=\frac{{\left(\alpha+1\right)% _{n}}}{n!},}}
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    α 0 𝛼 0 {\displaystyle{\displaystyle\alpha\geq 0}}
    0 references