\[b_{m+1}\left(h^{2}\right)-a_{m}\left(h^{2}\right)=\frac{2^{4m+5}}{m!}\left(%
\frac{2}{\pi}\right)^{\ifrac{1}{2}}h^{m+(\ifrac{3}{2})}e^{-4h}\*{\left(1-\frac%
{6m^{2}+14m+7}{32h}+O\left(\frac{1}{h^{2}}\right)\right)}.\]