Taking the logarithm of binomial type sequences: linear approach (1910.07100v3)

Published 15 Oct 2019 in math.NT

Abstract: 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.

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Authors (1)

Danil Krotkov

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