Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2015; 52(3): 987-998

Printed May 31, 2015

https://doi.org/10.4134/BKMS.2015.52.3.987

Copyright © The Korean Mathematical Society.

An integral representation, some inequalities, and complete monotonicity of the Bernoulli numbers of the second kind

Feng Qi and Xiao-Jing Zhang

Tianjin Polytechnic University, Tianjin Polytechnic University

Abstract

In the paper, the authors discover an integral representation, some inequalities, and complete monotonicity of the Bernoulli numbers of the second kind.

Keywords: Bernoulli numbers of the second kind, integral representation, inequality, completely monotonic sequence, Cauchy integral formula

MSC numbers: Primary 11B68; Secondary 11B83, 26A48, 30E20, 33B99