\[\int_{a}^{b}e^{ixp(t)}q(t)\,\mathrm{d}t\sim e^{ixp(a)}\sum_{s=0}^{\infty}\exp%
\left(\frac{(s+\lambda)\pi i}{2\mu}\right)\Gamma\left(\frac{s+\lambda}{\mu}%
\right)\frac{b_{s}}{x^{(s+\lambda)/\mu}}-e^{ixp(b)}\sum_{s=0}^{\infty}P_{s}(b)%
\left(\frac{i}{x}\right)^{s+1},\]