DLMF:10.12.E1 (Q3116)

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DLMF:10.12.E1
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    Statements

    test
    e 1 2 ⁢ z ⁢ ( t - t - 1 ) = ∑ m = - ∞ ∞ t m ⁢ J m ⁡ ( z ) . superscript 𝑒 1 2 𝑧 𝑡 superscript 𝑡 1 superscript subscript 𝑚 superscript 𝑡 𝑚 Bessel-J 𝑚 𝑧 {\displaystyle{\displaystyle e^{\frac{1}{2}z(t-t^{-1})}=\sum_{m=-\infty}^{% \infty}t^{m}J_{m}\left(z\right).}}
    0 references
    DLMF id
    DLMF:10.12.E1
    0 references
    Symbols used
    Bessel function of the first kind
    test
    J ν ⁡ ( z ) Bessel-J 𝜈 𝑧 {\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C10.S2.E2.m2adec
    0 references
     
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