  This paper presents a completely analytic treatment of cosmological
fluctuations whose wavelength is small enough to come within the horizon well
before the energy densities of matter and radiation become equal. This analysis
yields a simple formula for the conventional transfer function T(k) at large
wave number k, which agrees very well with computer calculations of T(k). It
also yields an explicit formula for the microwave background multipole
coefficient C_ell at very large ell.
