I need some help to calculate the following integral: $$\int_{0}^{\infty}\ x^{\frac{\alpha+\beta}{2} - 1} K_{\alpha-\beta} \sqrt {2(\frac{\alpha\beta}{\gamma}x)} dx$$ Where $\alpha, \beta,\gamma, $ are constants and $K_{\alpha-\beta}$ is the modified bessel function of the second type.
2026-03-27 22:03:01.1774648981
The integration of modified bessel function of the second type
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