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

28 Jan 2020  ·  Sumit Kumar Jha ·

We use the Ramanujan's master theorem to evaluate the integral $$\int_{0}^{\infty}\frac{x^{l-1}}{(1+x)^{m+1}}\log^{n}(1+x)\, dx$$ in terms of the digamma function, the gamma function, and the Hurwitz zeta function...

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General Mathematics 33B15