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Hello, I happened upon your question and noticed that your integrals look a lot like fractional derivatives. I think they provide the generalization your you're looking for. http://en.wikipedia.org/wiki/Fractional_derivative I know this doesn't fully answer your question, but should be a good place to start looking. Good luck! |
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Hello, I happened upon your question and noticed that your integrals look a lot like fractional derivatives. I think they provide the generalization your looking for. http://en.wikipedia.org/wiki/Fractional_derivative I know this doesn't fully answer your question, but should be a good place to start looking. Good luck! |
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