DLMF:12.14.E14 (Q4254)

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DLMF:12.14.E14
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    d d x ⁡ W ⁡ ( 0 , ± x ) = - 2 - 9 4 ⁢ x ⁢ π ⁢ x ⁢ ( J 3 4 ⁡ ( 1 4 ⁢ x 2 ) ± J - 3 4 ⁡ ( 1 4 ⁢ x 2 ) ) . derivative 𝑥 parabolic-W 0 plus-or-minus 𝑥 superscript 2 9 4 𝑥 𝜋 𝑥 plus-or-minus Bessel-J 3 4 1 4 superscript 𝑥 2 Bessel-J 3 4 1 4 superscript 𝑥 2 {\displaystyle{\displaystyle\frac{\mathrm{d}}{\mathrm{d}x}W\left(0,\pm x\right% )=-2^{-\frac{9}{4}}x\sqrt{\pi x}\left(J_{\frac{3}{4}}\left(\tfrac{1}{4}x^{2}% \right)\pm J_{-\frac{3}{4}}\left(\tfrac{1}{4}x^{2}\right)\right).}}
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    DLMF:12.14.E14
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