I had the following integration: $$\int_0^z w^{m-1}K_0(2\frac{m}{\Omega}\sqrt{w})dw.\tag{1}$$
Can i use the following formula from Table of integrals to solve the integral in eq. $(1)$
$$\int_0^{\infty}x^{\mu}K_v(ax)dx=2^{\mu-1}a^{-\mu-1}\Gamma\left(\frac{1+\mu+v}{2}\right)\Gamma\left(\frac{1+\mu-v}{2}\right).$$ Any help in this regard is highly appreciated.