We use the continued fraction formalism (CFF) to obtain the zz-component of the dynamical spin pair correlations of a transverse Ising model (TIM) in 2 D at T = ∞ for the first time. Our calculations suggest that the correlation function decays algebraically at long times as t-α, 1.5<α<2.2, which is slower than gaussian decay found for the corresponding dynamical correlation in 1 D. The calculations suggest that the corresponding dynamical correlation in 3 D is also likely to exhibit a power law decay. Our results compare favorably with the neutron scattering data on LiTbF4, for T>Tc, an induced moment ferromagnet.