\[\frac{\Gamma\left(\lambda-\mu\right)C^{(\lambda-\mu)}_{n}\left(x^{-\frac{1}{2}%
}\right)}{x^{\lambda-\mu+\frac{1}{2}n}}=\int_{x}^{\infty}\frac{\Gamma\left(%
\lambda\right)C^{(\lambda)}_{n}\left(y^{-\frac{1}{2}}\right)}{y^{\lambda+\frac%
{1}{2}n}}\frac{(y-x)^{\mu-1}}{\Gamma\left(\mu\right)}\,\mathrm{d}y,\]