Exploring the depths of degenerate hyper-harmonic num-bers in view of harmonic functions

被引：2

作者：

Al Edamat, Ayed ^{[1
]}

Khan, Waseem Ahmad ^{[2
]}

Duran, Ugur ^{[3
]}

Kirmani, Syed Ajaz K. ^{[4
]}

Ryoo, Cheon-Seoung ^{[5
]}

机构：

[1] Al Hussein Bin Talal Univ, Fac Sci, Dept Math, POB 20, Maan, Jordan

[2] Prince Mohammad Bin Fahd Univ, Dept Math & Nat Sci, POB 1664, Al Khobar 31952, Saudi Arabia

[3] Iskenderun Tech Univ, Fac Engn & Nat Sci, Dept Basic Sci Engn, TR-31200 Hatay, Turkiye

[4] Qassim Univ, Coll Engn, Dept Elect Engn, Unaizah, Saudi Arabia

[5] Hannam Univ, Dept Math, Daejeon 34430, South Korea

来源：

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2024年 / 35卷 / 02期

关键词：

Hyper -harmonic numbers; degenerate hyper -harmonic numbers; degenerate Daehee numbers; differential equation; POLYNOMIALS; SUMS;

D O I：

10.22436/jmcs.035.02.02

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This study aims to analyze several properties and relations of the degenerate hyper-harmonic numbers and the degenerate harmonic numbers. For this purpose, many identities including the Daehee numbers and derangement numbers, and degenerate Stirling numbers of the first kind are provided. Moreover, the first few values of the degenerate hyper-harmonic numbers are given and some graphical representations are shown.

引用

页码：136 / 148

页数：13

共 26 条

[1]

Alyusof R, 2023, Symmetry, V15, P1

[2]

Benjamin A.T., 2003, Integers, V3, P1

[3] EXPLICIT EVALUATION OF EULER SUMS [J].

BORWEIN, D ;

BORWEIN, JM ;

GIRGENSOHN, R .

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 1995, 38 :277-294

[4]

Borwein J. M., 1996, Electron. J. Comb., V3

[5] Finite summation formulas involving binomial coefficients, harmonic numbers and generalized harmonic numbers [J].

Choi, Junesang .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,

[6] Hypergeometric series and harmonic number identities [J].

Chu, WC ;

De Donno, L .

ADVANCES IN APPLIED MATHEMATICS, 2005, 34 (01) :123-137

[7]

Conway JH., 1996, The book of numbers

[8] The Arakawa-Kaneko zeta function [J].

Coppo, Marc-Antoine ;

Candelpergher, Bernard .

RAMANUJAN JOURNAL, 2010, 22 (02) :153-162

[9]

Dil A., 2019, SDU J. Nat. Appl. Sci., V23, P187

[10] Evaluation of Euler-like sums via Hurwitz zeta values [J].

Dil, Ayhan ;

Mezo, Istvan ;

Cenkci, Mehmet .

TURKISH JOURNAL OF MATHEMATICS, 2017, 41 (06) :1640-1655

← 1 2 3 →