Some identities on degenerate hyperharmonic numbers

被引：10

作者：

Kim, Taekyun ^{[1
]}

San Kim, Dae ^{[2
]}

机构：

[1] Kwangwoon Univ, Dept Math, Seoul 139701, South Korea

[2] Sogang Univ, Dept Math, Seoul 121742, South Korea

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2023年 / 30卷 / 02期

关键词：

Degenerate hyperharmonic number; degenerate harmonic number; hyperharmonic number; degenerate Hurwitz zeta function;

D O I：

10.1515/gmj-2022-2203

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to investigate some properties, recurrence relations and identities involving degenerate hyperharmonic numbers, hyperharmonic numbers and degenerate harmonic numbers. In particular, we derive an explicit expression of the degenerate hyperharmonic numbers in terms of the degenerate harmonic numbers. This is a degenerate version of the corresponding identity representing the hyperharmonic numbers in terms of harmonic numbers due to Conway and Guy.

引用

页码：255 / 262

页数：8

共 17 条

[1] Values of twisted Barnes zeta functions at negative integers [J].