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arXiv · 1910.07100

Taking the logarithm of binomial type sequences: linear approach

Danil Krotkov
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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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Danil Krotkov. 2019-10-15. Taking the logarithm of binomial type sequences: linear approach. https://arxiv.org/abs/1910.07100

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