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DLMF:10.21#Ex45 - MaRDI portal

DLMF:10.21#Ex45 (Q4043)

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DLMF:10.21#Ex45
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    DLMF defining formula
    J ν ⁡ ( j ν , 1 ′ ) ∼ 0.67488 51 ⁢ ν - 1 3 ⁢ ( 1 - 0.16172 3 ⁢ ν - 2 3 + 0.02918 ⁢ ν - 4 3 - 0.0068 ⁢ ν - 2 + ⋯ ) , asymptotic-expansion Bessel-J 𝜈 diffop zero-Bessel-J 𝜈 1 1 0.67488 51 superscript 𝜈 1 3 1 0.16172 3 superscript 𝜈 2 3 0.02918 superscript 𝜈 4 3 0.0068 superscript 𝜈 2 ⋯ {\displaystyle{\displaystyle J_{\nu}\left(j_{\nu,1}'\right)\sim 0.67488\;51\nu% ^{-\frac{1}{3}}(1-0.16172\;3\nu^{-\frac{2}{3}}+0.02918\nu^{-\frac{4}{3}}-0.006% 8\nu^{-2}+\cdots),}}
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