Ramanujan's Master Theorem: G.H. Hardy's Proof

In this video, I prove Ramanujan's master theorem, as presented by G.H. Hardy using the Mellin inversion and residue theorems under some conditions which can further be weakened and the region of convergence extended using analytic continuation. #ramanujan #ramanujanmastertheorem #ghhardy #residuetheorem #mellintransform #inversemellintransform #analysis #complexanalysis #gammafunction #calculus #infiniteseries #limits #dominatedconvergencetheorem #realanalysis #functions #convergence #delta #analyticfunction #drpeyam #blackpenredpen #flammablemaths #3blue1brown #michaelpenn #khanacademy #tibees #andrewdotson #stevemould #vibingmaths