A Generalized Closed Form of Ramanujan-Type Fourier Cosine Transform via Meijer's G-Function

S. A. Dar, R. P. Paris

In this paper, we obtain analytical evaluations of the Ramanujan integral \[\textbf{R}_{C}(m,n)= \int_{0}^{\infty}\frac{x^m\,\cos(πnx)}{\exp{(2π\sqrt{x})-1}}dx\] subject to suita…