Abstract
In terms of Abel’s transformation on difference operators, we establish four families of summation formulas involving generalized harmonic numbers. They include several known and numerous new harmonic number identities as special cases.
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The authors are grateful to the reviewer for helpful comments.
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The first author is supported by the National Natural Science Foundations of China (No. 11231004); the second author is supported by the National Natural Science Foundations of China (Nos. 11301120, 11661032).
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Wang, J., Wei, C. Four families of summation formulas involving generalized harmonic numbers. Ramanujan J 45, 73–94 (2018). https://doi.org/10.1007/s11139-016-9871-4
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DOI: https://doi.org/10.1007/s11139-016-9871-4