Nemes, Gergő

An asymptotic expansion for the Bernoulli numbers of the second kind

J. Integer Seq. 14(4), Article 11.4.8, 6 p., electronic only (2011)

Summary

Summary: In this paper we derive a complete asymptotic series for the Bernoulli numbers of the second kind, and provide a recurrence relation for the coefficients.

Mathematics Subject Classification

11B83, 41A60

Keywords/Phrases

Bernoulli numbers of the second kind, asymptotic expansions, gamma function

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