Add to ORKG• ABSTRACT: We Study the use of Abel summation applied to the evaluation of infinite series and infinite (divergent) integrals, we give several examples of how we can obtain a regularization for the case of divergent sums and integrals. • Keywords: = Abel sum formula,Abel-Plana formula, poles, infinities, renormalization, regularization, multiple integrals, Casimir effect
Some of the properties of the specific summation methods will be investigated, such as what type of ...
A generalised summation method is considered based on the Fourier series of periodic distributions. ...
The consequences of adopting other definitions of the concepts of sum and convergence of a series ar...
ABSTRACT: We Study the use of Abel summation applied to the evaluation of infinite series and infini...
In this paper we present a method to deal with divergences in perturbation theory using the method o...
We study some results of number theory relating to the problem of the regularization of divergent se...
The purpose of this paper is to show that the natural setting for various Abel and Euler-Maclaurin s...
The purpose of this paper is to show that the natural setting for various Abel and Euler-Maclaurin ...
This thesis focuses on the generalization of Abel Summation by Parts Formula, espe- cially in the tw...
AbstractBasic hypergeometric series identities are revisited systematically by means of Abel's lemma...
Szeregi rozbieżne to szeregi nieskończone, które nie są zbieżne, tzn. nie istnieje granica ciągu ich...
AbstractAbel's lemma on summation by parts is reformulated to investigate systematically terminating...
ABSTRACT: In this paper we study the methods of Borel and Nachbin resummation applied to the solutio...
This work presents an overview of the summability of divergent series and fractional finite sums, in...
A data approximation technique is presented for solving numerically the Abel integral equation. The ...
Some of the properties of the specific summation methods will be investigated, such as what type of ...
A generalised summation method is considered based on the Fourier series of periodic distributions. ...
The consequences of adopting other definitions of the concepts of sum and convergence of a series ar...
ABSTRACT: We Study the use of Abel summation applied to the evaluation of infinite series and infini...
In this paper we present a method to deal with divergences in perturbation theory using the method o...
We study some results of number theory relating to the problem of the regularization of divergent se...
The purpose of this paper is to show that the natural setting for various Abel and Euler-Maclaurin s...
The purpose of this paper is to show that the natural setting for various Abel and Euler-Maclaurin ...
This thesis focuses on the generalization of Abel Summation by Parts Formula, espe- cially in the tw...
AbstractBasic hypergeometric series identities are revisited systematically by means of Abel's lemma...
Szeregi rozbieżne to szeregi nieskończone, które nie są zbieżne, tzn. nie istnieje granica ciągu ich...
AbstractAbel's lemma on summation by parts is reformulated to investigate systematically terminating...
ABSTRACT: In this paper we study the methods of Borel and Nachbin resummation applied to the solutio...
This work presents an overview of the summability of divergent series and fractional finite sums, in...
A data approximation technique is presented for solving numerically the Abel integral equation. The ...
Some of the properties of the specific summation methods will be investigated, such as what type of ...
A generalised summation method is considered based on the Fourier series of periodic distributions. ...
The consequences of adopting other definitions of the concepts of sum and convergence of a series ar...