most citedEuler sums of generalized hyperharmonic numbers

3 citations · 5 across the 6 of their papers we have counts for

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6 papers

math.NT20212 cited

Generalized hyperharmonic number sums with reciprocal binomial coefficients

Rusen Li

In this paper, we mainly show that generalized hyperharmonic number sums with reciprocal binomial coefficients can be expressed in terms of classical (alternating) Euler sums, zeta…

math.NT2021

Integrals of polylogarithms and infinite series involving generalized harmonic numbers

Rusen Li

In this paper, we give explicit evaluation for some infinite series involving generalized (alternating) harmonic numbers. In addition, some formulas for generalized (alternating) h…

math.GM2021

Explicit evaluation of some integrals involving polylogarithm functions

Rusen Li

In this paper, we give explicit evaluation for some integrals involving polylogarithm functions of types and $\int_{0}^{x}\log^{m}(t) Li_{p…

math.NT2021

Summation formulas of hyperharmonic numbers with their generalizations II

Takao Komatsu, Rusen Li

In 1990, Spieß\, gave some identities of harmonic numbers including the types of , and $\sum_{\ell=1}^n\ell^k H_\el…

math.NT20213 cited

Euler sums of generalized hyperharmonic numbers

Rusen Li

In this paper, we mainly show that Euler sums of generalized hyperharmonic numbers can be expressed in terms of linear combinations of the classical Euler sums.

math.NT2021

Summation formulas of -hyperharmonic numbers

Takao Komatsu, Rusen Li

In this paper, several weighted summation formulas of -hyperharmonic numbers are derived. As special cases, several formulas of hyperharmonic numbers of type $\sum_{\ell=1}^{n}…