  We give a formal extension of Ramanujan's master theorem using operational
methods. The resulting identity transforms the computation of a product of
integrals on the half-line to the computation of a Laplace transform. Since the
identity is purely formal, we show consistency of this operational approach
with various standard calculus results, followed by several examples to
illustrate the power of the extension. We then briefly discuss the connection
between Ramanujan's master theorem and identities of Hardy and Carr before
extending the latter identities in the same way we extended Ramanujan's.
Finally, we generalize our results, producing additional interesting identities
as a corollary.
