Can one show that the following integral converges on $-1<\Re s < 1$ and define holomorphic function of $s$?
$$\int_0^\infty \sin(y) y^{s-1} dy$$
Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
|
-1
|
|||||||
|
closed as off topic by Andres Caicedo, Goldstern, J.C. Ottem, Igor Rivin, Ryan Budney Sep 15 at 23:26 |
