Vol. 29 (2019)
Articles

Quadratic and Quartic Integrals Using the Method of Brackets

B Ananthanarayan
Centre for High Energy Physics, Indian Institute of Science, Bangalore-560012, Karnataka, India
Sumit Banik
Centre for High Energy Physics, Indian Institute of Science, Bangalore-560012, Karnataka, India
Sudeepan Datta
Centre for High Energy Physics, Indian Institute of Science, Bangalore-560012, Karnataka, India
Tanay Pathak
Centre for High Energy Physics, Indian Institute of Science, Bangalore-560012, Karnataka, India
Portada

Published 2024-09-04

Keywords

  • quadratic integrals,
  • quartic integrals,
  • method of brackets,
  • hypergeometric functions

Abstract

The method of brackets is used to evaluate quadratic and quartic type
integrals appearing in the classical table of integrals by Gradshteyn and Ryzhik
in terms of hypergeometric functions. Some generalizations are also presented.