Proving a shift transformation theorem with taylor series

martae

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Apr 8, 2020
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I need to prove a transformation theorem T(ψ(x)) = (e^(hD))*ψ(x) with using Taylor series. It is known that T(ψ(x)) = ψ(x + h) and D is a derivatation. I dont know how should i start? And what function should i expand
 
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