J ν ⁡ ( j ν , m ′ ) = h ⁡ ( ζ ) ⁢ A ⁢ i ⁢ ( 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_{m}^{\prime }\right)}{\nu ^{\frac {1}{3}}}}\left(1+O\left({\frac {1}{\nu ^{\frac {4}{3}}}}\right)\right)