Chu–Vandermonde convolution and harmonic number identities

Abstract

By applying the derivative operators to Chu–Vandermonde convolution, several general harmonic number identities are established.

Keywords:

• Chu–Vandermonde convolution
• derivative operator
• harmonic number identity

2010 Mathematics Subject Classification :

• Primary: 05A19
• Secondary: 40A25

Acknowledgements

The authors are grateful to the reviewer for helpful comments. The work is supported by the Natural Science Foundation of China (No. 11126213) and the Foundation of Hainan Medical College (No. HYP201116).