Vol. 25 (2014)
Articles

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

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.

Publicado 2014-06-13

Palabras clave

  • Definite integrals,
  • method of brackets,
  • tables of integrals.

Cómo citar

Evaluation of entries in Gradshteyn and Ryzhik employing the method of brackets. (2014). Scientia, 25, 65-84. https://revistas.usm.cl/scientia/article/view/220

Resumen

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. 

Descargas

Los datos de descarga todavía no están disponibles.