On the Mellin transform of $\frac{{\log }^n(1+x)}{(1+x{)}^{m+1}}$

We use the Ramanujan’s master theorem to evaluate the integral $${\int }_0^{\mathrm{\infty }}\frac{x^{l-1}}{(1+x{)}^{m+1}}{\log }^n(1+x)dx$$ in terms of the digamma function, the gamma function, and the Hurwitz zeta function.