DLMF:32.10.E20 (Q9420): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10922 / rank
 
Normal rank
Property / Symbols used: Q10922 / qualifier
 
test:

H n ⁡ ( x ) Hermite-polynomial-H 𝑛 𝑥 {\displaystyle{\displaystyle H_{\NVar{n}}\left(\NVar{x}\right)}}

\HermitepolyH{\NVar{n}}@{\NVar{x}}
Property / Symbols used: Q10922 / qualifier
 
xml-id: C18.S3.T1.t1.r13.m2adec

Latest revision as of 13:10, 2 January 2020

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DLMF:32.10.E20
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    Statements

    test
    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
    test
    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
     
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