On the matrices with the generalized hyperharmonic numbers of order r


ÖMÜR N., KOPARAL S.

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, cilt.11, sa.3, 2018 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 3
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1142/s1793557118500456
  • Dergi Adı: ASIAN-EUROPEAN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Anahtar Kelimeler: The hyperharmonic number, factorization and binomial coefficient
  • Bursa Uludağ Üniversitesi Adresli: Hayır

Özet

In this paper, we define two n x n matrices A(n) and B-n with a(i,j) = H-i,j(r) and b(i,j) = H-i,m(j), respectively, where H-n,m(r) are a generalized hyperharmonic numbers of order r. We give some new factorizations and determinants of the matrices A(n) and B-n.