Abstract
By applying the derivative operator to the corresponding hypergeometric form of a q-series transformation due to Andrews (see Theorem 4 in Theory and Application for Basic Hypergeometric Functions, pp. 191–224, Academic Press, New York, 1975), we establish a general harmonic number identity. As the special cases of it, several interesting Chu–Donno-type identities and Paule–Schneider-type identities are displayed.
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This work has been supported by the Natural Science Foundations of China (Nos. 11201241, 61170317, and 61070234).
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Wei, C., Gong, D. The derivative operator and harmonic number identities. Ramanujan J 34, 361–371 (2014). https://doi.org/10.1007/s11139-013-9510-2
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DOI: https://doi.org/10.1007/s11139-013-9510-2