Results 1 to 10 of about 34 (34)

A symbolic approach to multiple Hurwitz zeta values at non-positive integers

Open Mathematics, 2023
In this article, we give another method to calculate the values of multiple Hurwitz zeta function at non-positive integers by means of Raabe’s formula and the Bernoulli numbers and we simplify these values by symbolic computation techniques.
Sadaoui Boualem, Jarad Fahd, Adjabi Yacine, Türkan Erkan Murat   +3 more
doaj   +1 more source

Fractional calculus, zeta functions and Shannon entropy

Open Mathematics, 2021
This paper deals with the fractional calculus of zeta functions. In particular, the study is focused on the Hurwitz ζ\zeta function. All the results are based on the complex generalization of the Grünwald-Letnikov fractional derivative.
Guariglia Emanuel
doaj   +1 more source

A new class of analytic functions defined by means of a generalization of the Srivastava-Attiya operator [PDF]

, 2015
SpringerOpenMSC: Primary 30C45; 11M35; secondary ...
Sebastien Gaboury, Gaboury, Sebastien, Hari M Srivastava, Srivastava, H.M.   +3 more
core   +1 more source

Hecke operators type and generalized Apostol-Bernoulli polynomials [PDF]

, 2013
International audienceAbstract In this paper, we construct some Hecke-type operators acting on the complex polynomials space, and we prove their commutativity. By means of this commutativity, we find a new approach to establish the generating function of
Aygunes, Aykut Ahmet, Abdelmejid Bayad, Aykut Aygunes, Aykut Aygunes, Yilmaz Simsek, Yilmaz Simsek, Bayad, Abdelmejid, Simsek, Yilmaz   +7 more
core   +1 more source

Expansion formulas for an extended Hurwitz-Lerch zeta function obtained via fractional calculus [PDF]

, 2014
International audienceAbstract Motivated by the recent investigations of several authors, in this paper, we derive several new expansion formulas involving a generalized Hurwitz-Lerch zeta function introduced and studied recently by Srivastava et al ...
Abdelmejid Bayad, Srivastava, Hari, Sébastien Gaboury, Hari M Srivastava, Bayad, Abdelmejid, Gaboury, Sébastien, Srivastava, H.M.   +6 more
core   +1 more source

Joint approximation of analytic functions by the shifts of Hurwitz zeta-functions in short intervals

Open Mathematics
In the article, we obtain that, for algebraically independent over Q{\mathbb{Q}} parameters α1,…,αr{\alpha }_{1},\ldots ,{\alpha }_{r}, there are infinitely many shifts (ζ(s+iτ,α1),…,ζ(s+iτ,αr))\left(\zeta \left(s+i\tau ,{\alpha }_{1}),\ldots ,\zeta ...
Laurinčikas Antanas, Šiaučiūnas Darius   +1 more
doaj   +1 more source

El problema de π-geografía y el problema de Hurwitz

Ingeniería y Ciencia, 2009
Sea d ≥ 2 un entero y  una partición de d. En este artículo se estudia el problema de para qué pares de enteros (a, b) existe un recubrimiento ramificado F : ∑ → D2 = {z ∈ C : |z| 6 ≤ 1} que tenga a valores críticos, x(∑) = −b, y tal que la monodromía ...
Carlos Cadavid, Juan D. Vélez-C.
doaj  

On the sum relation of multiple Hurwitz zeta functions

, 2019
In this paper we shall define the special-valued multiple Hurwitz zeta functions, namely the multiple t-values t(α) and define similarly the multiple star t-values as t⋆(α). Then we consider the sum of all such multiple (star) t-values of fixed depth and
Chung, Chan-Liang
core  

What works? Lessons from a pretrial qualitative study to inform a multi-component intervention for refugees and asylum seekers: Learning Through Play and EMDR Group Traumatic Episode Protocol. [PDF]

J Community Psychol, 2023
Kaptan SK, Yilmaz B, Varese F, Andriopoulou P, Husain N.   +4 more
europepmc   +1 more source

Monotone and fast computation of Euler's constant. [PDF]

J Inequal Appl, 2017
Adell JA, Lekuona A.
europepmc   +1 more source