AbstractIn this article we present a refined summation theory based on Karr’s difference field approach. The resulting algorithms find sum representations with optimal nested depth. For instance, the algorithms have been applied successively to evaluate Feynman integrals from Perturbative Quantum Field Theory
AbstractWe consider summations over digamma and polygamma functions, often with summands of the form...
We outline a new algorithm to solve coupled systems of differential equations in one continuous vari...
This program has been imported from the CPC Program Library held at Queen's University Belfast (1969...
In this article we present a refined summation theory based on Karr’s difference field approach. The...
AbstractIn this article we present a refined summation theory based on Karr’s difference field appro...
AbstractA summation framework is developed that enhances Karr's difference field approach. It covers...
The book focuses on advanced computer algebra methods and special functions that have striking appli...
Harmonic sums and their generalizations are extremely useful in the evaluation of higher-order pertu...
Abstract. We present a streamlined and refined version of Karr’s summation algorithm. Karr’s origina...
The general framework for handling symbolic summation, namely -fields was introduced by Michael Karr...
AbstractGiven a Feynman parameter integral, depending on a single discrete variable N and a real par...
We present symbolic summation tools in the context of difference fields that help scientists in prac...
Abstract. We present symbolic summation tools in the context of difference fields that help scientis...
This paper discusses some of the mathematical aspects of an algorithm for finding formulas for finit...
Using integration by parts relations, Feynman integrals can be represented in terms of coupled syste...
AbstractWe consider summations over digamma and polygamma functions, often with summands of the form...
We outline a new algorithm to solve coupled systems of differential equations in one continuous vari...
This program has been imported from the CPC Program Library held at Queen's University Belfast (1969...
In this article we present a refined summation theory based on Karr’s difference field approach. The...
AbstractIn this article we present a refined summation theory based on Karr’s difference field appro...
AbstractA summation framework is developed that enhances Karr's difference field approach. It covers...
The book focuses on advanced computer algebra methods and special functions that have striking appli...
Harmonic sums and their generalizations are extremely useful in the evaluation of higher-order pertu...
Abstract. We present a streamlined and refined version of Karr’s summation algorithm. Karr’s origina...
The general framework for handling symbolic summation, namely -fields was introduced by Michael Karr...
AbstractGiven a Feynman parameter integral, depending on a single discrete variable N and a real par...
We present symbolic summation tools in the context of difference fields that help scientists in prac...
Abstract. We present symbolic summation tools in the context of difference fields that help scientis...
This paper discusses some of the mathematical aspects of an algorithm for finding formulas for finit...
Using integration by parts relations, Feynman integrals can be represented in terms of coupled syste...
AbstractWe consider summations over digamma and polygamma functions, often with summands of the form...
We outline a new algorithm to solve coupled systems of differential equations in one continuous vari...
This program has been imported from the CPC Program Library held at Queen's University Belfast (1969...
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