  Let $p(z)=a_0+a_1z+a_2z^2+a_3z^3+\cdots+a_nz^n$ be a polynomial of degree
$n,$ where the coefficients $a_j,$ $j \in \{0,1,2,\cdots n\},$ may be complex.
We impose some restriction on the coefficients of the real part of the given
polynomial and then estimate the maximum number of zeros such polynomial can
possibly have in a specified disk.
