  We study a structure of holomorphic quantum contributions to the effective
action for ${\cal N}={1/2}$ noncommutative Wess-Zumino model. Using the symbol
operator techniques we present the one-loop chiral effective potential in a
form of integral over proper time of the appropriate heat kernel. We prove that
this kernel can be exactly found. As a result we obtain the exact integral
representation of the one-loop effective potential. Also we study the expansion
of the effective potential in a series in powers of the chiral superfield
$\Phi$ and derivative $D^2{\Phi}$ and construct a procedure for systematic
calculation of the coefficients in the series. We show that all terms in the
series without derivatives can be summed up in an explicit form.
