Euler sums of hyperharmonic numbers

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DİL A., Boyadzhiev K. N.

JOURNAL OF NUMBER THEORY, vol.147, pp.490-498, 2015 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 147
• Publication Date: 2015
• Doi Number: 10.1016/j.jnt.2014.07.018
• Journal Name: JOURNAL OF NUMBER THEORY
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.490-498
• Keywords: Riemann zeta function, Hurwitz zeta function, Euler sums, Harmonic and hyperharmonic numbers, Stirling numbers, Beta function
• Akdeniz University Affiliated: Yes

Abstract

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: