J ν ( j ν , m ′ ) = h ( ζ ) Ai ( a m ′ ) ν 1 3 ( 1 + O ( 1 ν 4 3 ) ) J_{\nu}\left(j_{\nu,m}'\right)=\frac{h(\zeta)\mathrm{Ai}\left(a^{\prime}_{m}\right)}{\nu^{\frac{1}{3}}}\left(1+O\left(\frac{1}{\nu^{\frac{4}{3}}}\right)\right)