Some applications on q-analog of the generalized hyperharmonic numbers of order r, H-n(r) (alpha)

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KOPARAL S., ÖMÜR N., Colak C. D.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.49, no.6, pp.2094-2103, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 49 Issue: 6
  • Publication Date: 2020
  • Doi Number: 10.15672/hujms.580684
  • Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.2094-2103
  • Keywords: generalized harmonic number, hyperharmonic number, q-analog
  • Bursa Uludag University Affiliated: No

Abstract

In this paper, we define q-analog of the generalized harmonic numbers H-n (alpha) and the generalized hyperharmonic numbers of order r, H-n(r) (alpha), and obtain some sums involving these numbers. Finally, we examine new applications of an n x n matrix A(n) = [a(i,j)] with the terms a(i,j) = H-i(r) (j, q).