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Maszenka
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I have to do inverse laplace transform of infinite product that is shown below. Can somebody help me with that?
MHB Inverse laplace transform pf infinite product
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The discussion revolves around finding the inverse Laplace transform of the infinite product represented by the function g(t) = (e^(-nt)/((n-1)!)) * (e^t - 1)^(n-1). Participants suggest that the solution may be approached through mathematical induction. There is a request for assistance in proving the inverse transform. The conversation emphasizes the need for a clear method to tackle the problem. Overall, the focus is on deriving the inverse Laplace transform effectively.
Obviously, there is something elementary I am missing here.
To form the transpose of a matrix, one exchanges rows and columns, so the transpose of a scalar, considered as (or isomorphic to) a one-entry matrix, should stay the same, including if the scalar is a complex number. On the other hand, in the isomorphism between the complex plane and the real plane, a complex number a+bi corresponds to a matrix
in the real plane; taking the transpose we get
which then corresponds to a-bi...
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