# Homework Help: Solve the Integral

1. Mar 25, 2009

### EngWiPy

1. The problem statement, all variables and given/known data

I need to find the follwoing integral in closed form using defined functions.

2. Relevant equations

$$\int_0^{\infty}\gamma^{a}(\gamma^2+\gamma)^{\frac{n+1}{2}}\,\mbox{exp}[-\gamma(s+\zeta)]\,K_{n+1}\left(2\,\sqrt{\frac{(\gamma^2+\gamma)(j+1)}{\rho}}\right)\,d\gamma$$

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

3. The attempt at a solution

I didn't find a similar expression in the table of integrals.