DLMF:10.23.E10 (Q3464)

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DLMF:10.23.E10
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    Statements

    f ( z ) = a 0 J 0 ( z ) + 2 k = 1 a k J k ( z ) , 𝑓 𝑧 subscript 𝑎 0 Bessel-J 0 𝑧 2 superscript subscript 𝑘 1 subscript 𝑎 𝑘 Bessel-J 𝑘 𝑧 {\displaystyle{\displaystyle f(z)=a_{0}J_{0}\left(z\right)+2\sum_{k=1}^{\infty% }a_{k}J_{k}\left(z\right),}}
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    | z | < c 𝑧 𝑐 {\displaystyle{\displaystyle|z|<c}}
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    J ν ( z ) Bessel-J 𝜈 𝑧 {\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}
    C10.S2.E2.m2agdec
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    k 𝑘 {\displaystyle{\displaystyle k}}
    C10.S1.XMD3.m1hdec
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    z 𝑧 {\displaystyle{\displaystyle z}}
    C10.S1.XMD6.m1ddec
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    a k subscript 𝑎 𝑘 {\displaystyle{\displaystyle a_{k}}}
    C10.S23.XMD2.m1dec
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    f ( t ) 𝑓 𝑡 {\displaystyle{\displaystyle f(t)}}
    C10.S23.XMD3.m1dec
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