Abstract
In terms of the derivative operator and a binomial sum from the telescoping method, we establish a family of summation formulae involving harmonic numbers. Meanwhile, a general recurrence relation is also deduced in accordance with Abel's lemma on summation by parts.
2000 Mathematics Subject Classification:
Acknowledgements
The authors are grateful to the reviewer for helpful comments.
Disclosure statement
No potential conflict of interest was reported by the author(s).
Funding
The work is supported by the Natural Science Foundations of China [grant numbers 11301120, 11201241];Jiangsu Qing Lan Project QL2014.