\[J_{-\frac{3}{4}}\left(z\right)=-2^{-\frac{1}{4}}\pi^{-\frac{1}{2}}z^{-\frac{3}%
{4}}\left(W'\left(0,2z^{\frac{1}{2}}\right)+W'\left(0,-2z^{\frac{1}{2}}\right)%
\right).\]