The method of brackets is a collection of heuristic rules, some of which have being made rigorous, that provide a flexible, direct method for the evaluation of definite integrals. The present work uses this method to establish classical formulas due to Frullani which provide values of a specific family of integrals. Some generalizations are established.
@article{bwmeta1.element.doi-10_1515_math-2017-0001,
author = {Sergio Bravo and Ivan Gonzalez and Karen Kohl and Victor H. Moll},
title = {Integrals of Frullani type and the method of brackets},
journal = {Open Mathematics},
volume = {15},
year = {2017},
pages = {1-12},
zbl = {1360.81247},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2017-0001}
}
Sergio Bravo; Ivan Gonzalez; Karen Kohl; Victor H. Moll. Integrals of Frullani type and the method of brackets. Open Mathematics, Tome 15 (2017) pp. 1-12. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2017-0001/