I have a Fourier integral

$$\int\limits_{-\infty}^{\infty}\mathrm{d}t\,\frac{1}{t^2}\exp\left({\mathrm{i}\frac{t^3}{3}+\mathrm{i}Yt+\frac{\mathrm{i}\lambda^2}{4t}}\right),$$

where $Y$ and $\lambda$ are arbitrary real parameters.

Is it possible to express this integral in terms of some special functions, say hypergeometric functions or confluent hypergeometric functions? Thanks.