DLMF:10.23.E20 (Q3474)

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DLMF:10.23.E20
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    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
     
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