On the matrices with the generalized hyperharmonic numbers of order r
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, cilt.11, sa.3, 2018 (ESCI, Scopus)
- 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.