Integration, Parabolic Cylinder Function involved

Question

Find

$$ \int_{\mathbb{R}^{+}} e^{-sx}x^{\frac{b}{2}-1}D_{\nu}(k\sqrt{x})dx $$

where

• $\nu<0$
• $k<0$
• $D_{\cdot}(\cdot)$ is the parabolic cylinder function
• $b>0$, $s>0$