6 papers
A Unified Approach to Formal Arakawa-Kaneko Type Zeta Values via Iterated Integrals
Ende Pan, Ce Xu, Jianqiang Zhao
We introduce a formal multiple polylogarithm function (FMPF) and general formal Arakawa-Kaneko zeta values (GFAKZVs), and establish several useful properties analogous to those of…
Mneimneh-type Binomial Sums of Multiple Harmonic-type Sums
Ende Pan, Ce Xu
In this paper, we establish some expressions of Mneimneh-type binomial sums involving multiple harmonic-type sums in terms of finite sums of Stirling numbers, Bell numbers and some…
General Mneimneh-type Binomial Sum involving Harmonic Numbers
Ende Pan, Ce Xu
Recently, Mneimneh proved the remarkable identity \begin{align*} \sum_{k=0}^n H_k\binom{n}{k} p^k(1-p)^{n-k}=\sum_{i=1}^n \frac{1-(1-p)^i}{i}\quad (p\in [0,1]) \end{align*} as the…
Order structure and topological properties of the set of multiple t-values
Ende Pan
In this paper, we compute the iterated derived sets of the set of multiple t-values under the usual topology of R. Our results imply that the set of multiple t-values, ordered by >…
Sum of interpolated finite multiple harmonic -series
Zhonghua Li, Ende Pan
We define and study the interpolated finite multiple harmonic -series. A generating function of the sums of the interpolated finite multiple harmonic -series with fixed weigh…
Topological properties of -analogues of multiple zeta values
Zhonghua Li, Ende Pan
In the space of bounded real-valued functions on the interval , we study the convergent sequences of -analogues of multiple zeta values which do not converge to . And…