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DLMF:10.12#Ex4 - MaRDI portal

DLMF:10.12#Ex4 (Q3818)

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DLMF:10.12#Ex4
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    DLMF defining formula
    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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