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DLMF:10.12#Ex7

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Formula:3822
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MaRDI QIDQ3822

  • Label: DLMF:10.12#Ex7


Digital Library of Mathematical Functions ID 10.12#Ex7

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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