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

From DRMF
Jump to navigation Jump to search
← Older edit
‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: Q11727 / rank
 
Normal rank
Property / Symbols used: Q11727 / qualifier
 
Defining formula:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q11727 / qualifier
 
xml-id: C18.S2.XMD3.m1dec

Latest revision as of 13:33, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:18.38.E1
No description defined

    Statements

    Defining formula
    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}},}}
    0 references
    DLMF id
    DLMF:18.38.E1
    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
    Q11726
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1dec
    0 references
    Q11727
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1dec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q6057&oldid=37544"