Solve Integral with Modified Bessel Function

[EngWiPy]

Hello,

Is there any way to solve this integral:

$$\int_0^{\infty}\text{e}^{-p\gamma}\,\left(\gamma^2+\gamma\right)^{b/2}\,K_b\left(2\,\alpha\,\sqrt{\gamma^2+\gamma}\right)\,d\gamma$$

where $$K_v(.)$$ is the modified Bessel function of the second kind and $$v^{\tex{th}}$$ order.??

Thanks in advance

 

[CFDFEAGURU]

The only way that I would attempt to solve that integral is numerically.