## Mellin Transform of $\sin$ [closed]

Can one show that the following integral converges on $-1<\Re s < 1$ and define holomorphic function of $s$?

$$\int_0^\infty \sin(y) y^{s-1} dy$$

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 FAQ: MathOverflow's primary goal is for users to ask and answer research level math questions. – Goldstern Sep 15 at 23:19 Thank you for expert advice! – jsquare Sep 16 at 8:05