Euler sums of hyperharmonic numbers

DİL A., Boyadzhiev K. N.

JOURNAL OF NUMBER THEORY, cilt.147, ss.490-498, 2015 (SCI-Expanded)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 147
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1016/j.jnt.2014.07.018
  • Dergi Adı: JOURNAL OF NUMBER THEORY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.490-498
  • Anahtar Kelimeler: Riemann zeta function, Hurwitz zeta function, Euler sums, Harmonic and hyperharmonic numbers, Stirling numbers, Beta function
  • Akdeniz Üniversitesi Adresli: Evet

Özet

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: