Definite integrals by the method of brackets. Part 1☆☆The first author was partially funded by Fondecyt (Chile), Grant number 3080029. The work of the second author was partially funded by NSF-DMS 0070567.-Reference-Cited by-同舟云学术

Definite integrals by the method of brackets. Part 1☆☆The first author was partially funded by Fondecyt (Chile), Grant number 3080029. The work of the second author was partially funded by NSF-DMS 0070567.

Published:2010-07 Issue:1 Volume:45 Page:50-73
ISSN:0196-8858
Container-title:Advances in Applied Mathematics
language:en
Short-container-title:Advances in Applied Mathematics

Author:

Gonzalez Ivan,Moll Victor H.

Publisher

Elsevier BV

Subject

Applied Mathematics

Reference34 articles.

1. A formula for a quartic integral: a survey of old proofs and some new ones;Amdeberhan;Ramanujan J.,2009

2. Application of the negative-dimension approach to massless scalar box integrals;Anastasiou;Nuclear Phys. B,2000

3. Scalar one-loop integrals using the negative-dimension approach;Anastasiou;Nuclear Phys. B,2000

4. Complex Variables;Antimirov,1998

5. Dimensional renormalization: the number of dimensions as a regularizing parameter;Bollini;Nuovo Cimento B,1972

Cited by 22 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Olsson.wl & ROC2.wl: Mathematica packages for transformations of multivariable hypergeometric functions & regions of convergence for their series representations in the two variables case;Computer Physics Communications;2024-07

2. MultiHypExp: A Mathematica package for expanding multivariate hypergeometric functions in terms of multiple polylogarithms;Computer Physics Communications;2024-04

3. Closed form expressions for certain improper integrals of mathematical physics;The European Physical Journal Special Topics;2024-02-08

4. Method of Brackets: Revisiting a technique for calculating Feynman integrals and certain definite integrals;Physical Review D;2023-10-04

5. AlgRel.wl: Algebraic relations for the product of propagators in Feynman integrals;Nuclear Physics B;2023-10