An extension of the method of brackets. Part 1

Ivan Gonzalez, et al. "An extension of the method of brackets. Part 1." Open Mathematics 15.1 (2017): 1181-1211. <http://eudml.org/doc/288569>.

@article{IvanGonzalez2017,
abstract = {The method of brackets is an efficient method for the evaluation of alarge class of definite integrals on the half-line. It is based on a small collection of rules, some of which are heuristic. The extension discussed here is based on the concepts of null and divergent series. These are formal representations of functions, whose coefficients an have meromorphic representations for n ∈ ℂ, but might vanish or blow up when n ∈ ℕ. These ideas are illustrated with the evaluation of a variety of entries from the classical table of integrals by Gradshteyn and Ryzhik.},
author = {Ivan Gonzalez, Karen Kohl, Lin Jiu, Victor H. Moll},
journal = {Open Mathematics},
keywords = {Definite integrals; Method of brackets; Divergent series},
language = {eng},
number = {1},
pages = {1181-1211},
title = {An extension of the method of brackets. Part 1},
url = {http://eudml.org/doc/288569},
volume = {15},
year = {2017},
}

TY - JOUR
AU - Ivan Gonzalez
AU - Karen Kohl
AU - Lin Jiu
AU - Victor H. Moll
TI - An extension of the method of brackets. Part 1
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 1181
EP - 1211
AB - The method of brackets is an efficient method for the evaluation of alarge class of definite integrals on the half-line. It is based on a small collection of rules, some of which are heuristic. The extension discussed here is based on the concepts of null and divergent series. These are formal representations of functions, whose coefficients an have meromorphic representations for n ∈ ℂ, but might vanish or blow up when n ∈ ℕ. These ideas are illustrated with the evaluation of a variety of entries from the classical table of integrals by Gradshteyn and Ryzhik.
LA - eng
KW - Definite integrals; Method of brackets; Divergent series
UR - http://eudml.org/doc/288569
ER -