In this paper, we derive some sums involving generalized harmonic and r-derangement numbers by using generating functions of these numbers and some combinatorial identities. The relationship between Daehee numbers and generalized harmonic numbers of rank r, H(n,r,α) is given. In addition, sums including Daehee numbers of order r,D_n^r, generalized hyperharmonic numbers of order r, H_n^r (α), Cauchy numbers of order r, C_n^r and the stirling numbers of the first kind, s(n,i) are also calculated.
Generalized harmonic numbers 𝑟− Derangement numbers Generating functions Special numbers
Birincil Dil | İngilizce |
---|---|
Konular | Sayısal ve Hesaplamalı Matematik (Diğer) |
Bölüm | Natural Sciences |
Yazarlar | |
Yayımlanma Tarihi | 28 Mart 2024 |
Gönderilme Tarihi | 23 Eylül 2023 |
Kabul Tarihi | 28 Kasım 2023 |
Yayımlandığı Sayı | Yıl 2024 |