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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...
View ArticleHow 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...
View ArticleAnswer by Noa Arvidsson for How Does Ramanujan’s Master Theorem Work?
The conditions for the basic version of Ramanujan's master theorem are as follows:$$|\varphi(x+iy)|<Ce^{Px+A|y|}, x>-\delta$$ for some $\delta\in(0,1)$. Here $C,P,A$ are constants and $A<\pi$....
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