DLMF:32.10.E21 (Q9421): Difference between revisions

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Property / constraint
 

m = 0 , 1 , 2 , … 𝑚 0 1 2 … {\displaystyle{\displaystyle m=0,1,2,\dots}}

m=0,1,2,\dots
Property / constraint: m = 0 , 1 , 2 , … 𝑚 0 1 2 … {\displaystyle{\displaystyle m=0,1,2,\dots}} / rank
 
Normal rank
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.m2aadec
Property / Symbols used
 
Property / Symbols used: Q12573 / rank
 
Normal rank
Property / Symbols used: Q12573 / qualifier
 
test:

m 𝑚 {\displaystyle{\displaystyle m}}

m
Property / Symbols used: Q12573 / qualifier
 
xml-id: C32.S1.XMD1.m1adec
Property / Symbols used
 
Property / Symbols used: Q12523 / rank
 
Normal rank
Property / Symbols used: Q12523 / qualifier
 
test:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q12523 / qualifier
 
xml-id: C32.S1.XMD4.m1pdec

Latest revision as of 13:10, 2 January 2020

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DLMF:32.10.E21
No description defined

    Statements

    test
    w ⁢ ( z ; - m , - 2 ⁢ ( m + 1 ) 2 ) = - 2 ⁢ z + H m ′ ⁡ ( z ) H m ⁡ ( z ) , 𝑤 𝑧 𝑚 2 superscript 𝑚 1 2 2 𝑧 diffop Hermite-polynomial-H 𝑚 1 𝑧 Hermite-polynomial-H 𝑚 𝑧 {\displaystyle{\displaystyle w(z;-m,-2(m+1)^{2})=-2z+\frac{H_{m}'\left(z\right% )}{H_{m}\left(z\right)},}}
    0 references
    DLMF id
    DLMF:32.10.E21
    0 references
    constraint
    m = 0 , 1 , 2 , … 𝑚 0 1 2 … {\displaystyle{\displaystyle m=0,1,2,\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.m2aadec
    0 references
    Q12573
    test
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C32.S1.XMD1.m1adec
    0 references
    Q12523
    test
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C32.S1.XMD4.m1pdec
    0 references
     
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