“…In this paper we compute the expectation of the area of S (r) t , which we denote by Area(S (r) t ), for Brownian motion conditioned to be at a prescribed point x ∈ R 2 at time t as well as for free (unconditioned) Brownian motion. Define N(λ), called Ramanujan's function ( [2], [29]) or integral ( [7], page 219), by N(λ) = ∞ 0 e −λu (lg u) 2 + π 2 · du u (λ ≥ 0).…”