On sums of products of the degenerate Bernoulli numbers

Abstract

The purpose of this study is to establish an expressions formula of sums of products of the degenerate Bernoulli numbers in terms of the degenerate Bernoulli numbers.

Keywords:

• Bernoulli number
• degenerate Bernoulli number
• sum of products

2000 Mathematics Subject Classification :

• Primary: 05A15
• 05A10

Acknowledgements

The authors thank two anonymous referees for their valuable suggestions that have significantly improved the presentation of this article. This research is supported by the National Natural Science Foundation of China (Grant no. 10771093).