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Channel: How Does Ramanujan’s Master Theorem Work? - Mathematics Stack Exchange
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Answer by reuns for How Does Ramanujan’s Master Theorem Work?

You should think to the residue theorem and Mellin inversion. The decay and analycity conditions implies that knowing $\varphi(-k)$ is enough to know $\varphi(s)$.Let $ \varphi(s)$ be analytic on...

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How Does Ramanujan’s Master Theorem Work?

I am trying to understand Ramanujan' Master theorem, but I really can't seem to wrap my head around it. So the theorem states that if you have a function $F$ such that you can write it...

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