Evaluation of entries in Gradshteyn and Ryzhik employing the method of brackets

Ivan Gonzalez; Karen T. Kohl; V. H. Moll

doi:10.71712/

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Published: 2025-08-08

DOI: https://doi.org/10.71712/

Keywords:

Definite integrals, method of brackets, tables of integrals.

Ivan Gonzalez

Instituto de Fisica y Astronomia, Universidad de Valparaíso, Valparaíso, Chile. Centro Científico Técnologico de Valpara´´íso (CCTVAL), Valparaíso, Chile.

Karen T. Kohl

Department of Mathematics, University of Southern Mississippi, Long Beach, MS 39560, U.S.A.

V. H. Moll

Department of Mathematics, Tulane University, New Orleans, LA 70118, U.S.A.

Abstract

The method of brackets was created for the evaluation of definite integrals appearing in the resolution of Feynman diagrams. This method consists of a small number of heuristic rules and it is quite easy to apply. The first of these is Ramanujan’s Master Theorem, one of his favorite tools to evaluate integrals. The current work illustrates its applicability by evaluating a variety of entries from the classical table of integrals by I. S. Gradshteyn and I. M. Ryzhik.

Issue

Vol. 25 (2014)

Section

Articles

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Ivan Gonzalez, Karen T. Kohl, & V. H. Moll. (2025). Evaluation of entries in Gradshteyn and Ryzhik employing the method of brackets. Scientia Series A: Mathematical Sciences, 25, 65-84. https://doi.org/10.71712/