Necessary and sufficient conditions for differentiating under the integral sign

Details Necessary and sufficient conditions for differentiating under the integral sign Necessary and sufficient conditions for differentiating under the integral sign

2001-01-02

arxiv.org/abs/math/0101012v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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.

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