Is there a solution, or an approximation, to the following integral?
$$\int_0^P e^{\delta x}x^{n-m}\, _1F_1\Big(n;m;\sigma (P-x)\Big)dx $$
where m, n, $\delta$ and $\sigma$ are real. I can redefine $\delta$ and $\sigma$ to $-\delta$ and $-\sigma$ if it makes the derivation easier.