Some Identities with Special Numbers

Cumhuriyet Science Journal

article

Neşe ÖMÜR¹  Kübra Nur SÜDEMEN¹  Sibel KOPARAL² 

[1] KOCAELI UNIVERSITY;ULUDAG UNIVERSITY

关键词: Harmonic numbers;    Cauchy numbers of order r;    q- Changhee number;    Generating functions;   

DOI  :  10.17776/csj.1036733

学科分类：工程和技术（综合）

来源: Cumhuriyet University

【 摘 要 】

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.

【 授权许可】

CC BY-NC-ND