On identities involving generalized harmonic, hyperharmonic and special numbers with Riordan arrays


KOPARAL S., ÖMÜR N., Duran Ö.

Special Matrices, vol.9, pp.22-30, 2021 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 9
  • Publication Date: 2021
  • Doi Number: 10.1515/spma-2020-0111
  • Journal Name: Special Matrices
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.22-30
  • Keywords: the generalized harmonic number, Riordan arrays, Stirling number, SUMS
  • Bursa Uludag University Affiliated: No

Abstract

In this paper, by means of the summation property to the Riordan array, we derive some identities involving generalized harmonic, hyperharmonic and special numbers. For example, for n >= 0,