Journal of East China Normal University(Natural Science) ›› 2021, Vol. 2021 ›› Issue (6): 24-32.doi: 10.3969/j.issn.1000-5641.2021.06.003

• Mathematics • Previous Articles     Next Articles

Finite sums in higher order powers of shifted-harmonic numbers

Qinglun YAN(), Zhaofen WANG, Juan MI   

  1. College of Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, China
  • Received:2020-08-19 Online:2021-11-25 Published:2021-11-26


In this article, using methods such as the partial fraction method, we study a set of combined identities for an Euler-type summation. We calculate, furthermore, the finite summation form of the product of the high order shifted-harmonic number and the reciprocal of the binomial coefficient. By using special values for the parameters, interesting identities can be obtained.

Key words: harmonic numbers, binomial coefficient, the partial fraction method

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