Timeline for Can we simplify $\int_{0}^{\infty}\frac{{\sin}^px}{x^q}dx$?

11 events

when toggle format	what		by	license	comment
Jan 6, 2019 at 16:18	history	edited	Carlo Beenakker	CC BY-SA 4.0	HTTP to https
Jan 16, 2016 at 0:59	history	edited	R.P.	CC BY-SA 3.0	replaced sin --> \sin in math mode
Dec 3, 2013 at 7:40	comment	added	Carlo Beenakker		@Lucian --- somehow I'm not able to get the logarithm (which I know should appear) by such a limiting procedure.
Dec 3, 2013 at 6:20	comment	added	Lucian		What if we would allow m to be any positive real number ? Or replace $\sin x$ with $\|\sin x\|$, and then allow p to be any positive real as well (with $m-p>1$, so as to ensure convergence) ? Perhaps the old formulas will still work, given that both simple and double factorials can be extended to non-natural arguments ? Or maybe not ?
Dec 2, 2013 at 13:47	history	edited	Carlo Beenakker	CC BY-SA 3.0	explicit formula
Dec 2, 2013 at 13:41	history	edited	Carlo Beenakker	CC BY-SA 3.0	explicit formula
Dec 1, 2013 at 15:41	history	edited	Carlo Beenakker	CC BY-SA 3.0	added 340 characters in body
Dec 1, 2013 at 15:34	history	edited	Carlo Beenakker	CC BY-SA 3.0	added 340 characters in body
Dec 1, 2013 at 15:23	history	undeleted	Carlo Beenakker
Dec 1, 2013 at 15:14	history	deleted	Carlo Beenakker		via Vote
Dec 1, 2013 at 15:11	history	answered	Carlo Beenakker	CC BY-SA 3.0