AbstractA simple class of algorithms for the efficient computation of the Hurwitz zeta and related special functions is given. The algorithms also provide a means of computing fundamental mathematical constants to arbitrary precision. A number of extensions as well as numerical examples are briefly described. The algorithms are easy to implement and compete with Euler–Maclaurin summation-based methods
We derive a new formula for the Hurwitz–Lerch zeta function in terms of the infinite sum of the inco...
We obtain the following version of the approximation of the Hurwitz zeta-function. Let σ ≥ 0 and |t|...
We propose and develop yet another approach to the problem of summation of series involving the Riem...
AbstractA simple class of algorithms for the efficient computation of the Hurwitz zeta and related s...
ABSTRACT. This paper sketches a technique for improving the rate of convergence of a general oscilla...
We address the problem of finding out the values of the Hurwitz zeta function at the positive intege...
Abstract: In this paper, the Euler-Maclaurin Summation formula was researched, the purpose of resear...
The problem of efficiently evaluating special functions to high precision has been considered by num...
Zeta-functions are significant objects in analytic number theory. The one of the central object is t...
The generalized Stieltjes constants $\gamma_n(v)$ are, up to a simple scaling factor, the Laurent se...
International audienceThe generalized Stieltjes constants $\gamma_n(v)$ are, up to a simple scaling ...
International audienceWe give various contributions to the theory of Hurwitz zeta-function. An eleme...
We introduce a new algorithm to efficiently compute the functions belonging to a suitable set $sc...
MI: Global COE Program Education-and-Research Hub for Mathematics-for-IndustryグローバルCOEプログラム「マス・フォア・イ...
Zeta-functions are significant objects in analytic number theory. The one of the central object is t...
We derive a new formula for the Hurwitz–Lerch zeta function in terms of the infinite sum of the inco...
We obtain the following version of the approximation of the Hurwitz zeta-function. Let σ ≥ 0 and |t|...
We propose and develop yet another approach to the problem of summation of series involving the Riem...
AbstractA simple class of algorithms for the efficient computation of the Hurwitz zeta and related s...
ABSTRACT. This paper sketches a technique for improving the rate of convergence of a general oscilla...
We address the problem of finding out the values of the Hurwitz zeta function at the positive intege...
Abstract: In this paper, the Euler-Maclaurin Summation formula was researched, the purpose of resear...
The problem of efficiently evaluating special functions to high precision has been considered by num...
Zeta-functions are significant objects in analytic number theory. The one of the central object is t...
The generalized Stieltjes constants $\gamma_n(v)$ are, up to a simple scaling factor, the Laurent se...
International audienceThe generalized Stieltjes constants $\gamma_n(v)$ are, up to a simple scaling ...
International audienceWe give various contributions to the theory of Hurwitz zeta-function. An eleme...
We introduce a new algorithm to efficiently compute the functions belonging to a suitable set $sc...
MI: Global COE Program Education-and-Research Hub for Mathematics-for-IndustryグローバルCOEプログラム「マス・フォア・イ...
Zeta-functions are significant objects in analytic number theory. The one of the central object is t...
We derive a new formula for the Hurwitz–Lerch zeta function in terms of the infinite sum of the inco...
We obtain the following version of the approximation of the Hurwitz zeta-function. Let σ ≥ 0 and |t|...
We propose and develop yet another approach to the problem of summation of series involving the Riem...