Euler sums of generalized alternating hyperharmonic numbers II

Abstract

In this paper, we introduce a new type of generalized alternating hyperharmonic numbers $H_n^{(p,r,s_1,s_2)}$, and show that Euler sums of the generalized alternating hyperharmonic numbers $H_n^{(p,r,s_1,s_2)}$ can be expressed in terms of linear combinations of classical (alternating) Euler sums.

33 pages

References in corpus (1)

• Generalized hyperharmonic number sums with reciprocal binomial coefficients