DLMF:10.23.E20 (Q3474): 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: Q11476 / rank
 
Normal rank
Property / Symbols used: Q11476 / qualifier
 
Defining formula:

f ⁢ ( t ) 𝑓 𝑡 {\displaystyle{\displaystyle f(t)}}

f(t)
Property / Symbols used: Q11476 / qualifier
 
xml-id: C10.S23.XMD3.m1edec

Latest revision as of 13:32, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:10.23.E20
No description defined

    Statements

    Defining formula
    1 2 ⁢ f ⁢ ( x - ) + 1 2 ⁢ f ⁢ ( x + ) = ∑ m = 1 ∞ a m ⁢ J ν ⁡ ( j ν , m ⁢ x ) , 1 2 𝑓 limit-from 𝑥 1 2 𝑓 limit-from 𝑥 superscript subscript 𝑚 1 subscript 𝑎 𝑚 Bessel-J 𝜈 subscript 𝑗 𝜈 𝑚 𝑥 {\displaystyle{\displaystyle\tfrac{1}{2}f(x-)+\tfrac{1}{2}f(x+)=\sum_{m=1}^{% \infty}a_{m}J_{\nu}\left(j_{\nu,m}x\right),}}
    0 references
    DLMF id
    DLMF:10.23.E20
    0 references
    Symbols used
    Bessel function of the first kind
    Defining formula
    J ν ⁡ ( z ) Bessel-J 𝜈 𝑧 {\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C10.S2.E2.m2andec
    0 references
    Q11438
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C10.S1.XMD1.m1adec
    0 references
    Q11435
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C10.S1.XMD4.m1adec
    0 references
    Q11427
    Defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C10.S1.XMD7.m1hdec
    0 references
    DLMF:10.23.E11
    Defining formula
    a k subscript 𝑎 𝑘 {\displaystyle{\displaystyle a_{k}}}
    xml-id
    C10.S23.XMD2.m1ddec
    0 references
    Q11476
    Defining formula
    f ⁢ ( t ) 𝑓 𝑡 {\displaystyle{\displaystyle f(t)}}
    xml-id
    C10.S23.XMD3.m1edec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q3474&oldid=37508"