DLMF:10.12#Ex7 (Q3124)

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DLMF:10.12#Ex7
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    1 2 z cos z = J 1 ( z ) - 9 J 3 ( z ) + 25 J 5 ( z ) - 49 J 7 ( z ) + , 1 2 𝑧 𝑧 Bessel-J 1 𝑧 9 Bessel-J 3 𝑧 25 Bessel-J 5 𝑧 49 Bessel-J 7 𝑧 {\displaystyle{\displaystyle\tfrac{1}{2}z\cos z=J_{1}\left(z\right)-9J_{3}% \left(z\right)+25J_{5}\left(z\right)-49J_{7}\left(z\right)+\cdots,}}
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