DLMF:10.12#Ex4 (Q3120)

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DLMF:10.12#Ex4
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    sin ( z cos θ ) = 2 k = 0 ( - 1 ) k J 2 k + 1 ( z ) cos ( ( 2 k + 1 ) θ ) . 𝑧 𝜃 2 superscript subscript 𝑘 0 superscript 1 𝑘 Bessel-J 2 𝑘 1 𝑧 2 𝑘 1 𝜃 {\displaystyle{\displaystyle\sin\left(z\cos\theta\right)=2\sum_{k=0}^{\infty}(% -1)^{k}J_{2k+1}\left(z\right)\cos\left((2k+1)\theta\right).}}
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    DLMF:10.12#Ex4
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