DLMF:18.7.E19 (Q5587)

From DRMF
Revision as of 15:21, 2 January 2020 by Admin (talk | contribs) (‎Changed an Item: Add constraint)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:18.7.E19
No description defined

    Statements

    Defining formula
    H 2 ⁢ n ⁡ ( x ) = ( - 1 ) n ⁢ 2 2 ⁢ n ⁢ n ! ⁢ L n ( - 1 2 ) ⁡ ( x 2 ) , Hermite-polynomial-H 2 𝑛 𝑥 superscript 1 𝑛 superscript 2 2 𝑛 𝑛 Laguerre-polynomial-L 1 2 𝑛 superscript 𝑥 2 {\displaystyle{\displaystyle H_{2n}\left(x\right)=(-1)^{n}2^{2n}n!L^{(-\frac{1% }{2})}_{n}\left(x^{2}\right),}}
    0 references
    DLMF id
    DLMF:18.7.E19
    0 references
    Symbols used
    Q10922
    Defining formula
    H n ⁡ ( x ) Hermite-polynomial-H 𝑛 𝑥 {\displaystyle{\displaystyle H_{\NVar{n}}\left(\NVar{x}\right)}}
    xml-id
    C18.S3.T1.t1.r13.m2abdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q5587&oldid=56951"