56 citations · 196 across the 55 of their papers we have counts for
19 papers · 1 filter
Some evaluation of infinite series involving trigonometric and hyperbolic functions
Ce Xu
In this paper, by using the residue theorem and asymptotic formulas of trigonometric and hyperbolic functions at the poles, we establish many relations involving two or more infini…
Some infinite series involving hyperbolic functions
Ce Xu
This paper develops an approach to the evaluation of infinite series involving hyperbolic functions. By using the approach, we give explicit formulas for several classes of series…
Some evaluation of cubic Euler sums
Ce Xu
P. Flajolet and B. Salvy \cite{FS1998} prove the famous theorem that a nonlinear Euler sum reduces to a combination of sums of lower orders whenever the we…
Evaluations of Euler type sums of weight 5
Ce Xu
Let be positive integers with and , define the so-called Euler type sums ${S_{{p_1}{p_2} \cdots {p_m},p}}\left( x \r…
Evaluations of nonlinear Euler sums of weight ten
Ce Xu
In this paper we present a new family of identities for Euler sums and integrals of polylogarithms by using the methods of generating function and integral representations of serie…
Cubic alternating harmonic number sums
Ce Xu
A recent paper of A. Sofo proves some results about sums of products of quadratic alternating harmonic numbers and reciprocal binomial coefficients. In this paper, we extend his re…