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

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q10922 / rank
 
Normal rank
Property / Symbols used: Q10922 / qualifier
 
Defining formula:

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

Revision as of 01:22, 2 January 2020

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DLMF:18.18.E6
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    Statements

    Defining formula
    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),}}
    0 references
    DLMF id
    DLMF:18.18.E6
    0 references
    constraint
    - ∞ < x < ∞ 𝑥 {\displaystyle{\displaystyle-\infty<x<\infty}}
    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
     
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