  In this paper we obtain the formal asymptotic expansion of the logarithms
$\ln p_s(\alpha)$ of $p_s(\alpha)$, which are canonical continuations of
polynomials of binomial type $p_n(\alpha)$. Our approach is based on linear
methods which do not require the calculation of expansions
$(p_s(\alpha)\alpha^{-s}-1)^k$, as opposed to the direct logarithmization.
