Necessary and sufficient conditions for differentiating under the integral sign
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🧮 math.CA
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integralconditionsdifferentiatingnecessarysignsufficientunderable
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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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