A surface integral representation of a multiple generalization of the Hurwitz–Lerch zeta function is given, which is a direct analogue of the well-known contour integral representation of the Riemann zeta function of Hankel’s type. From this integral representation, we derive a detailed description of the set of its possible singularities. In addition, we present two formulae for special values of the zeta function at non-positive integers in terms of generalizations of Bernoulli numbers. These results are refinements of previously known ones. 1
We investigate the integral representation of infinite sums involving the ratio of multiple binomia...
We investigate the integral representation of infinite sums involving the ratio of multiple binomia...
We introduce a zeta function attached to a representation of a group. We show that the multi-dimensi...
Abstract: Motivated largely by a number of recent investigations, we introduce and investigate the v...
Motivated largely by a number of recent investigations, we introduce and investigate the various pro...
In this paper we derive the possibly simplest integral representations for the Riemann zeta function...
In this paper we derive the possibly simplest integral representations for the Riemann zeta function...
In this paper we derive the possibly simplest integral representations for the Riemann zeta function...
In this paper we derive the possibly simplest integral representations for the Riemann zeta function...
Abstract. This paper deals with a multiple version of zeta- and L-functions both in the complex case...
Our purpose in this paper is to consider a generalized form of the extended Hurwitz-Lerch Zeta funct...
The main aim of this paper is to provide a new generalization of Hurwitz-Lerch Zeta function of two ...
The purpose of present paper is to introduce a new extension of Hurwitz-Lerch Zeta function by using...
AbstractIt is shown that an integral representation for the extension of a general Hurwitz–Lerch zet...
We introduce a zeta function attached to a representation of a group. We show that the multi-dimensi...
We investigate the integral representation of infinite sums involving the ratio of multiple binomia...
We investigate the integral representation of infinite sums involving the ratio of multiple binomia...
We introduce a zeta function attached to a representation of a group. We show that the multi-dimensi...
Abstract: Motivated largely by a number of recent investigations, we introduce and investigate the v...
Motivated largely by a number of recent investigations, we introduce and investigate the various pro...
In this paper we derive the possibly simplest integral representations for the Riemann zeta function...
In this paper we derive the possibly simplest integral representations for the Riemann zeta function...
In this paper we derive the possibly simplest integral representations for the Riemann zeta function...
In this paper we derive the possibly simplest integral representations for the Riemann zeta function...
Abstract. This paper deals with a multiple version of zeta- and L-functions both in the complex case...
Our purpose in this paper is to consider a generalized form of the extended Hurwitz-Lerch Zeta funct...
The main aim of this paper is to provide a new generalization of Hurwitz-Lerch Zeta function of two ...
The purpose of present paper is to introduce a new extension of Hurwitz-Lerch Zeta function by using...
AbstractIt is shown that an integral representation for the extension of a general Hurwitz–Lerch zet...
We introduce a zeta function attached to a representation of a group. We show that the multi-dimensi...
We investigate the integral representation of infinite sums involving the ratio of multiple binomia...
We investigate the integral representation of infinite sums involving the ratio of multiple binomia...
We introduce a zeta function attached to a representation of a group. We show that the multi-dimensi...