103 citations · 110 across the 6 of their papers we have counts for
8 papers
Stieltjes constants for Hurwitz-type L-series attached to periodic arithmetic functions
Abdelmejid Bayad, Salah Eddine Rihane
We investigate generalized Stieltjes constants attached to Hurwitz-type Dirichlet series of the form where is a periodic a…
New Characterization of Appell polynomials
Abdelmejid Bayad, Takao Komatsu
We prove characterizations of Appell polynomials by means of symmetric property. For these polynomials, we establish a simple linear expression in terms of Bernoulli and Euler poly…
Zeta functions interpolating the convolution of the Bernoulli polynomials
Abdelmejid Bayad, Takao Komatsu
We prove nonlinear relation on multiple Hurwitz-Riemann zeta functions. Using analytic continuation of these multiple Hurwitz-Riemann zeta function, we quote at negative integers E…
Reciprocity Theorems for Bettin--Conrey Sums
Juan S. Auli, Abdelmejid Bayad, Matthias Beck
Recent work of Bettin and Conrey on the period functions of Eisenstein series naturally gave rise to the Dedekind-like sum \[ c_{a}\left(\frac{h}{k}\right) \ = \ k^{a}\sum_{m=1}^{k…
Relations for Bernoulli--Barnes Numbers and Barnes Zeta Functions
Abdelmejid Bayad, Matthias Beck
The \emph{Barnes -function} is \[ ζ_n (z, x; \a) := \sum_{\m \in \Z_{\ge 0}^n} \frac{1}{\left(x + m_1 a_1 + \dots + m_n a_n \right)^z} \] defined for and $\Re(z) >…
Bernstein polynomials on Simplex
A. Bayad, T. Kim, S. -H. Rim
We prove two identities for multivariate Bernstein polynomials on simplex, which are considered on a pointwise. In this paper, we study good approximations of Bernstein polynomials…