In this paper, we derive new identities which are related to some special numbers and generalized harmonic numbers H_n (α) by using the argument of the generating function given in [3] and comparing the coefficients of the generating functions. Also considering q -numbers involving q -Changhee numbers Chnq and q-Daehee numbers Dnq, some sums are given. For example, for any positive integer n and any positive real number q > 1, whenα= q/(q-1), we have the relationship between generalized harmonic numbers and q -Daehee numbers
Harmonic numbers Cauchy numbers of order r q- Changhee number Generating functions
Birincil Dil | İngilizce |
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Konular | Matematik |
Bölüm | Natural Sciences |
Yazarlar | |
Yayımlanma Tarihi | 27 Aralık 2022 |
Gönderilme Tarihi | 14 Aralık 2021 |
Kabul Tarihi | 5 Aralık 2022 |
Yayımlandığı Sayı | Yıl 2022 |