This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018) Abstract Higher transcendental function occur frequently in the calculation of Feynman integrals in quantum field theory. Their expansion in a small parameter is a non-trivial task. We report on a computer program which allows the systematic expansion of certain classes of functions. The algorithms are based on the Hopf algebra of nested sums. The program is written in C++ and uses the GiNaC library. Title of program: nestedsums v 1.0 Catalogue Id: ADPX_v1_0 Nature of problem Systematic expansion of higher transcendental functions in a small parameter. These expansions occur, for example, in the calculation of loop integrals i...
This thesis is an exposition of approximation techniques on irrational and transcendental functions....
The elementary operations of addition, subtraction, multiplication, and division involving trun-cate...
We provide algorithms for symbolic integration of hyperlogarithms multiplied by rational functions, ...
This program has been imported from the CPC Program Library held at Queen's University Belfast (1969...
Harmonic sums and their generalizations are extremely useful in the evaluation of higher-order pertu...
This work deals with special nested objects arising in massive higher order perturbative calculation...
The book focuses on advanced computer algebra methods and special functions that have striking appli...
I consider the expansion of transcendental functions in a small parameter around rational numbers. T...
This program has been imported from the CPC Program Library held at Queen's University Belfast (1969...
Expansion of higher transcendental functions in a small parameter are needed in many areas of scienc...
In this article algorithmic methods are presented that have essentially been introduced into compute...
This program has been imported from the CPC Program Library held at Queen's University Belfast (1969...
AbstractGiven a Feynman parameter integral, depending on a single discrete variable N and a real par...
A perturbative approach to quantum field theory involves the computation of loop integrals, as soon ...
We consider a class of sums over products of Z-sums whose arguments differ by a symbolic integer. Su...
This thesis is an exposition of approximation techniques on irrational and transcendental functions....
The elementary operations of addition, subtraction, multiplication, and division involving trun-cate...
We provide algorithms for symbolic integration of hyperlogarithms multiplied by rational functions, ...
This program has been imported from the CPC Program Library held at Queen's University Belfast (1969...
Harmonic sums and their generalizations are extremely useful in the evaluation of higher-order pertu...
This work deals with special nested objects arising in massive higher order perturbative calculation...
The book focuses on advanced computer algebra methods and special functions that have striking appli...
I consider the expansion of transcendental functions in a small parameter around rational numbers. T...
This program has been imported from the CPC Program Library held at Queen's University Belfast (1969...
Expansion of higher transcendental functions in a small parameter are needed in many areas of scienc...
In this article algorithmic methods are presented that have essentially been introduced into compute...
This program has been imported from the CPC Program Library held at Queen's University Belfast (1969...
AbstractGiven a Feynman parameter integral, depending on a single discrete variable N and a real par...
A perturbative approach to quantum field theory involves the computation of loop integrals, as soon ...
We consider a class of sums over products of Z-sums whose arguments differ by a symbolic integer. Su...
This thesis is an exposition of approximation techniques on irrational and transcendental functions....
The elementary operations of addition, subtraction, multiplication, and division involving trun-cate...
We provide algorithms for symbolic integration of hyperlogarithms multiplied by rational functions, ...