arminstraub.com

The method of brackets. Part 2: examples and applications

The method of brackets. Part 2: examples and applications
Ivan Gonzalez, Victor H. Moll, Armin Straub — Contemporary Mathematics — "Gems in Experimental Mathematics" — Volume 517, 2010, Pages 157-171

Abstract

A new heuristic method for the evaluation of definite integrals is presented. This method of brackets has its origin in methods developed for the evaluation of Feynman diagrams. The operational rules are described and the method is illustrated with several examples. The method of brackets reduces the evaluation of a large class of definite integrals to the solution of a linear system of equations.

Download

LinkSizeDescriptionHits
193.68 KB Preprint (PDF, 15 pages) 2034

BibTeX

@article{brackets2-2010,
    author = {Ivan Gonzalez and Victor H. Moll and Armin Straub},
    title = {The method of brackets. {P}art 2: examples and applications},
    journal = {Contemporary Mathematics},
    year = {2010},
    volume = {517},
    pages = {157--171},
    doi = {10.1090/conm/517/10139},
}
Date: 2010/07/09
4053 reads