New asymptotic expansions on hyperfactorial functions
In this paper, by using the Bernoulli numbers and the exponential complete Bell polynomials, we establish four general asymptotic expansions for the hyperfactorial functions $\prod _{k=1}^n {k^{k^q}}$, which have only odd power terms or even power terms. We derive the recurrences for the parameter s...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2021-01-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.73/ |