Polynomial Identities for Binomial Sums of Harmonic Numbers of Higher Order

被引：0

作者：

Komatsu, Takao ^{[1
]}

Sury, B. ^{[2
]}

机构：

[1] Nagasaki Univ, Fac Educ, Nagasaki 8528521, Japan

[2] Indian Stat Inst, Stat Math Unit, 8th Mile Mysore Rd, Bangalore 560059, India

来源：

MATHEMATICS | 2025年 / 13卷 / 02期

关键词：

polynomial identities; harmonic numbers; determinant; Bell polynomials;

D O I：

10.3390/math13020321

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the formulas for binomial sums of harmonic numbers of higher order & sum;k=0nHk(r)nk(1-q)kqn-k=Hn(r)-& sum;j=1nDr(n,j)qjj. Recently, Mneimneh proved that D1(n,j)=1. In this paper, we find several different expressions of Dr(n,j) for r >= 1.

引用

页数：12

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