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DLMF:10.21#Ex41 - MaRDI portal

DLMF:10.21#Ex41 (Q4039)

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DLMF:10.21#Ex41
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    DLMF defining formula
    J ν ′ ⁡ ( j ν , 1 ) ∼ - 1.11310 28 ⁢ ν - 2 3 ÷ ( 1 + 1.48460 6 ⁢ ν - 2 3 + 0.43294 ⁢ ν - 4 3 - 0.1943 ⁢ ν - 2 + 0.019 ⁢ ν - 8 3 + ⋯ ) , asymptotic-expansion diffop Bessel-J 𝜈 1 zero-Bessel-J 𝜈 1 1.11310 28 superscript 𝜈 2 3 1 1.48460 6 superscript 𝜈 2 3 0.43294 superscript 𝜈 4 3 0.1943 superscript 𝜈 2 0.019 superscript 𝜈 8 3 ⋯ {\displaystyle{\displaystyle J_{\nu}'\left(j_{\nu,1}\right)\sim-1.11310\;28\nu% ^{-\frac{2}{3}}\div(1+1.48460\;6\nu^{-\frac{2}{3}}+0.43294\nu^{-\frac{4}{3}}-0% .1943\nu^{-2}+0.019\nu^{-\frac{8}{3}}+\cdots),}}
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