  In this article, a subclass of univalent harmonic mapping is introduced by
restricting its analytic part to lie in the class
$\mathcal{S}^{\delta}[\alpha]$, $0\leq \alpha < 1$, $-\infty < \delta < \infty$
which has been introduced and studied by Kumar \cite{Kumar87} (see also
\cite{Mishra95}, \cite{MishraChoudhury95}, \cite{MishraDas96},
\cite{MishraGochhayat06}). Coefficient estimations, growth and distortion
properties, area theorem and covering estimates of functions in the newly
defined class have been established. Furthermore, we also found bounds for the
Bloch's constant for all functions in that family.
