- #1

- 188

- 1

for example Ramanujan obtained his Master theorem from the integral equality

[tex] \int_{0}^{\infty} dx e^{-ax} x^{m-1} = \Gamma (m) a^{-m] [/tex]

by just replacing the 'a' number by the operator exp(D) and expanding exp(-exp(x) but is this valid ?? , can we always replace real numbers by operators ??