Some Identities with Multi-Generalized q-Hyperharmonic Numbers of Order r-Reference-Cited by-同舟云学术

Some Identities with Multi-Generalized q-Hyperharmonic Numbers of Order r

Published:2023-04-14 Issue:4 Volume:15 Page:917
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Chen Zhihua¹^ORCID,Ömür Neşe²,Koparal Sibel³^ORCID,Khan Waseem Ahmad⁴^ORCID

Affiliation:

1. Institute of Computing Science and Technology, Guangzhou University, Guangzhou 510006, China

2. Department of Mathematics, Kocaeli University, Kocaeli 41380, Türkiye

3. Department of Mathematics, Bursa Uludağ University, Bursa 16059, Türkiye

4. Department of Mathematics and Natural Sciences, Prince Mohammad Bin Fahd University, P.O. Box 1664, Al Khobar 31952, Saudi Arabia

Abstract

The main purpose of this paper is to define multiple alternative q-harmonic numbers, Hnk;q and multi-generalized q-hyperharmonic numbers of order r, Hnrk;q by using q-multiple zeta star values (q-MZSVs). We obtain some finite sum identities and give some applications of them for certain combinations of q-multiple polylogarithms Liq;k1,k2,…,kdt1,t2,…,td with the help of generating functions. Additionally, one of the applications is the sum involving q-Stirling numbers and q-Bernoulli numbers.

Funder

National Natural Science Foundation of China

Natural Science Foundation of Guangdong Province of China

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/4/917/pdf

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