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math.NT2012
Euler Sums of Hyperharmonic Numbers
Ayhan Dil, Khristo N. Boyadzhiev
The hyperharmonic numbers h_{n}^{(r)} are defined by means of the classical harmonic numbers. We show that the Euler-type sums with hyperharmonic numbers: σ(r,m)=\sum_{n=1}^{\infty…
math.NT2012★ 4 cited
On a series of Furdui and Qin and some related integrals
Khristo N. Boyadzhiev
In this note we present the solution of Problem H-691 (The Fibonacci Quarterly, 50 (1) 2012) with some corrections and more details. The solution involves three nontrivial integral…