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DLMF:10.12#Ex3 - MaRDI portal

DLMF:10.12#Ex3 (Q3817)

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DLMF:10.12#Ex3
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    DLMF defining formula
    cos ⁡ ( z ⁢ cos ⁡ θ ) = J 0 ⁡ ( z ) + 2 ⁢ ∑ k = 1 ∞ ( - 1 ) k ⁢ J 2 ⁢ k ⁡ ( z ) ⁢ cos ⁡ ( 2 ⁢ k ⁢ θ ) , 𝑧 𝜃 Bessel-J 0 𝑧 2 superscript subscript 𝑘 1 superscript 1 𝑘 Bessel-J 2 𝑘 𝑧 2 𝑘 𝜃 {\displaystyle{\displaystyle\cos\left(z\cos\theta\right)=J_{0}\left(z\right)+2% \sum_{k=1}^{\infty}(-1)^{k}J_{2k}\left(z\right)\cos\left(2k\theta\right),}}
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