POLYNOMIALS RELATED TO HARMONIC NUMBERS AND EVALUATION OF HARMONIC NUMBER SERIES II

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DİL A., Kurt V.

APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, cilt.5, sa.2, ss.212-229, 2011 (SCI-Expanded)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Sayı: 2
  • Basım Tarihi: 2011
  • Doi Numarası: 10.2298/aadm110615015d
  • Dergi Adı: APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.212-229
  • Anahtar Kelimeler: Exponential numbers and polynomials, geometric numbers and polynomials, Stirling numbers, harmonic and hyperharmonic numbers, WEIGHTED STIRLING NUMBERS, 1ST
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this paper we focus on r-geometric polynomials, r-exponential polynomials and their harmonic versions. We show that harmonic versions of these polynomials and their generalizations are useful for obtaining closed forms of some series related to harmonic numbers.