On the expected number of real zeros of random polynomials. II. Coefficients with non-zero means

Let $\xi_j$, $j=0,1\dots,$ be independent identically distributed random variables with $\mathbf E\xi_j\ne0$ belonging to the domain of attraction of the normal law.
The main result is the following relation:
$$ \mathbf E\{N_n\mid Q_n(x)\not\equiv0\}\sim\frac1\pi\ln n\quad(n\to\infty) $$
where $Q_n(x)=\sum_{j=0}^n\xi_jx^j$ and $N_n$ is the number of real roots of $Q_n$.