Necessary and sufficient conditions for differentiating under the integral sign
Classical Analysis and ODEs
2007-05-23 v1
Abstract
We give necessary and sufficient conditions for differentiating under the integral sign an integral that depends on a parameter. The conditions require the equality of two iterated integrals and depend on being able to integrate every derivative. The Henstock integral is thus used in an essential way.
Keywords
Cite
@article{arxiv.math/0101012,
title = {Necessary and sufficient conditions for differentiating under the integral sign},
author = {Erik Talvila},
journal= {arXiv preprint arXiv:math/0101012},
year = {2007}
}