DLMF:18.38.E1 (Q6057): Difference between revisions

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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 13:33, 2 January 2020

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DLMF:18.38.E1
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    Statements

    V n ( x ) = 2 n H n + 1 ( x ) H n - 1 ( x ) / ( H n ( x ) ) 2 , subscript 𝑉 𝑛 𝑥 2 𝑛 Hermite-polynomial-H 𝑛 1 𝑥 Hermite-polynomial-H 𝑛 1 𝑥 superscript Hermite-polynomial-H 𝑛 𝑥 2 {\displaystyle{\displaystyle V_{n}(x)=\ifrac{2nH_{n+1}\left(x\right)H_{n-1}% \left(x\right)}{(H_{n}\left(x\right))^{2}},}}
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    DLMF:18.38.E1
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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
    0 references