DLMF:32.10.E20 (Q9420)

From DRMF
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:32.10.E20
No description defined

    Statements

    Defining formula
    w ⁢ ( z ; - m , - 2 ⁢ ( m - 1 ) 2 ) = - H m - 1 ′ ⁡ ( z ) H m - 1 ⁡ ( z ) , 𝑤 𝑧 𝑚 2 superscript 𝑚 1 2 diffop Hermite-polynomial-H 𝑚 1 1 𝑧 Hermite-polynomial-H 𝑚 1 𝑧 {\displaystyle{\displaystyle w(z;-m,-2(m-1)^{2})=-\frac{H_{m-1}'\left(z\right)% }{H_{m-1}\left(z\right)},}}
    0 references
    DLMF id
    DLMF:32.10.E20
    0 references
    constraint
    m = 1 , 2 , 3 , … 𝑚 1 2 3 … {\displaystyle{\displaystyle m=1,2,3,\dots}}
    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.m2adec
    0 references
    Q12573
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C32.S1.XMD1.m1dec
    0 references
    Q12523
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C32.S1.XMD4.m1odec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q9420&oldid=44207"