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, vol.5, no.2, pp.212-229, 2011 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 5 Issue: 2
  • Publication Date: 2011
  • Doi Number: 10.2298/aadm110615015d
  • Journal Name: APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.212-229
  • Keywords: Exponential numbers and polynomials, geometric numbers and polynomials, Stirling numbers, harmonic and hyperharmonic numbers, WEIGHTED STIRLING NUMBERS, 1ST
  • Open Archive Collection: AVESIS Open Access Collection
  • Akdeniz University Affiliated: Yes

Abstract

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.