Taking the logarithm of binomial type sequences: linear approach
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arXiv
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| Format: | Preprint |
| Published: |
2019
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| _version_ | 1866911474707857408 |
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| author | Krotkov, Danil |
| author_facet | Krotkov, Danil |
| contents | In this paper we obtain the formal asymptotic expansion of the logarithms $\ln p_s(α)$ of $p_s(α)$, which are canonical continuations of polynomials of binomial type $p_n(α)$. Our approach is based on linear methods which do not require the calculation of expansions $(p_s(α)α^{-s}-1)^k$, as opposed to the direct logarithmization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1910_07100 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Taking the logarithm of binomial type sequences: linear approach Krotkov, Danil Number Theory In this paper we obtain the formal asymptotic expansion of the logarithms $\ln p_s(α)$ of $p_s(α)$, which are canonical continuations of polynomials of binomial type $p_n(α)$. Our approach is based on linear methods which do not require the calculation of expansions $(p_s(α)α^{-s}-1)^k$, as opposed to the direct logarithmization. |
| title | Taking the logarithm of binomial type sequences: linear approach |
| topic | Number Theory |
| url | https://arxiv.org/abs/1910.07100 |