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

From testwiki
Jump to navigation Jump to search
← Older editNewer edit →
imported>Admin
imported>Admin
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.m2adec

Revision as of 14:34, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:18.14.E8
No description defined

    Statements

    test
    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!},}}
    0 references
    DLMF id
    DLMF:18.14.E8
    0 references
    constraint
    α ≥ 0 𝛼 0 {\displaystyle{\displaystyle\alpha\geq 0}}
    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.m2adec
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q5671&oldid=32444"