Euler sums of generalized alternating hyperharmonic numbers
Rusen Li
Abstract
We define the notion of the generalized alternating hyperharmonic numbers, and show that Euler sums of the generalized alternating hyperharmonic numbers can be expressed in terms of linear combinations of classical (alternating) Euler sums.
Topics & Concepts
MathematicsEuler's formulaEuler number (physics)Euler summationSemi-implicit Euler methodPure mathematicsMathematical analysisBackward Euler methodEuler equationsAdvanced Mathematical IdentitiesAdvanced Combinatorial MathematicsAnalytic Number Theory Research