Add to ORKGHyperharmonic numbers arise by taking repeated partial sums of harmonic numbers. These numbers can be expressed in terms of r-Stirling numbers, leading to combinatorial interpretations of many interesting identities
This paper presents a number of identities for Dirichlet series and series with Stirling numbers of ...
The Lagrange expansion formula is employed to determine the Maclaurin series for the logarithms of L...
AbstractDixon’s classical summation theorem on F23(1)-series is reformulated as an equation of forma...
Hyperharmonic numbers arise by taking repeated partial sums of harmonic numbers. These numbers can b...
Hyperharmonic numbers arise by taking repeated partial sums of harmonic numbers. These numbers can b...
We seek to discover combinatorial explanations of known identities involving harmonic numbers. Harmo...
Hyperharmonic numbers arise by taking repeated partial sums of harmonic numbers. These numbers can b...
AbstractLet the numbers P(r,n,k) be defined by P(r,n,k):=Pr(Hn(1)−Hk(1),…,Hn(r)−Hk(r)), where Pr(x1,...
In this paper, polynomials whose coefficients involve $r$-Lah numbers are used to evaluate several s...
AbstractThe classical hypergeometric summation theorems are exploited to derive several striking ide...
Our purpose is to establish that hyperharmonic numbers – successive partial sums of harmonic number...
Exponentiating the hypergeometric series 0FL(1,1,...,1;z), L = 0,1,2,..., furnishes a recursion re...
In this article, we study the nature of the forward shifted series σ r = n>r |bn| n−r where r is a p...
AbstractIn this paper we consider five conjectured harmonic number identities similar to those arisi...
AbstractTwo open problems recently proposed by Xi and Luo (Adv. Differ. Equ. 2021:38, 2021) are reso...
This paper presents a number of identities for Dirichlet series and series with Stirling numbers of ...
The Lagrange expansion formula is employed to determine the Maclaurin series for the logarithms of L...
AbstractDixon’s classical summation theorem on F23(1)-series is reformulated as an equation of forma...
Hyperharmonic numbers arise by taking repeated partial sums of harmonic numbers. These numbers can b...
Hyperharmonic numbers arise by taking repeated partial sums of harmonic numbers. These numbers can b...
We seek to discover combinatorial explanations of known identities involving harmonic numbers. Harmo...
Hyperharmonic numbers arise by taking repeated partial sums of harmonic numbers. These numbers can b...
AbstractLet the numbers P(r,n,k) be defined by P(r,n,k):=Pr(Hn(1)−Hk(1),…,Hn(r)−Hk(r)), where Pr(x1,...
In this paper, polynomials whose coefficients involve $r$-Lah numbers are used to evaluate several s...
AbstractThe classical hypergeometric summation theorems are exploited to derive several striking ide...
Our purpose is to establish that hyperharmonic numbers – successive partial sums of harmonic number...
Exponentiating the hypergeometric series 0FL(1,1,...,1;z), L = 0,1,2,..., furnishes a recursion re...
In this article, we study the nature of the forward shifted series σ r = n>r |bn| n−r where r is a p...
AbstractIn this paper we consider five conjectured harmonic number identities similar to those arisi...
AbstractTwo open problems recently proposed by Xi and Luo (Adv. Differ. Equ. 2021:38, 2021) are reso...
This paper presents a number of identities for Dirichlet series and series with Stirling numbers of ...
The Lagrange expansion formula is employed to determine the Maclaurin series for the logarithms of L...
AbstractDixon’s classical summation theorem on F23(1)-series is reformulated as an equation of forma...