报告主题：Approximation properties of Bernoulli and related numbers
报告人： Takao Komatsu 教授 （武汉大学）
报告时间：2018年11月9日（周五）10:00
报告地点：校本部F412
邀请人：Mikio Nakahara
主办部门：太阳成集团tyc33455数学系
报告摘要：Several generalized Bernoulli numbers have been introduced and studied in various aspects. In this talk, we focus on hypergeometric Bernoulli numbers, which are generalized by using hypergeometric functions. There are several advantages for hypergeometric numbers, in particular, in the expressions of determinants. Moreover, we can get new identities and relations by using a continued fraction expansion of the generating functions of hypergeometric Bernoulli numbers. Some new identities and relations for Bernoulli numbers can be reduced. This kind of approximation methods can be applicable to other related numbers (e.g., Euler numbers, Cauchy numbers, harmonic numbers and their generalized numbers) to get new identities or new expansions. We discuss the results and applications.
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