DLMF:18.18.E6 (Q5796): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11726 / rank
 
Normal rank
Property / Symbols used: Q11726 / qualifier
 
test:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q11726 / qualifier
 
xml-id: C18.S1.XMD6.m1edec
Property / Symbols used
 
Property / Symbols used: Q11762 / rank
 
Normal rank
Property / Symbols used: Q11762 / qualifier
 
test:

f ( z ) 𝑓 𝑧 {\displaystyle{\displaystyle f(z)}}

f(z)
Property / Symbols used: Q11762 / qualifier
 
xml-id: C18.S18.XMD1.m1edec
Property / Symbols used
 
Property / Symbols used: DLMF:18.18.E7 / rank
 
Normal rank
Property / Symbols used: DLMF:18.18.E7 / qualifier
 
test:

d n subscript 𝑑 𝑛 {\displaystyle{\displaystyle d_{n}}}

d_{n}
Property / Symbols used: DLMF:18.18.E7 / qualifier
 
xml-id: C18.S18.XMD4.m1dec
Property / Symbols used
 
Property / Symbols used: Q11727 / rank
 
Normal rank
Property / Symbols used: Q11727 / qualifier
 
test:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q11727 / qualifier
 
xml-id: C18.S2.XMD3.m1ddec

Latest revision as of 00:22, 2 January 2020

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Language Label Description Also known as
English
DLMF:18.18.E6
No description defined

    Statements

    f ( x ) = n = 0 d n H n ( x ) , 𝑓 𝑥 superscript subscript 𝑛 0 subscript 𝑑 𝑛 Hermite-polynomial-H 𝑛 𝑥 {\displaystyle{\displaystyle f(x)=\sum_{n=0}^{\infty}d_{n}H_{n}\left(x\right),}}
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    - < x < 𝑥 {\displaystyle{\displaystyle-\infty<x<\infty}}
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    H n ( x ) Hermite-polynomial-H 𝑛 𝑥 {\displaystyle{\displaystyle H_{\NVar{n}}\left(\NVar{x}\right)}}
    C18.S3.T1.t1.r13.m2adec
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C18.S1.XMD6.m1edec
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    f ( z ) 𝑓 𝑧 {\displaystyle{\displaystyle f(z)}}
    C18.S18.XMD1.m1edec
    0 references
    d n subscript 𝑑 𝑛 {\displaystyle{\displaystyle d_{n}}}
    C18.S18.XMD4.m1dec
    0 references
    x 𝑥 {\displaystyle{\displaystyle x}}
    C18.S2.XMD3.m1ddec
    0 references