Timeline for How to show simply that $e^{\frac{x}{2}}\int^\infty_0 e^{-t}t^{n-\frac{1}{2}}\cos(2\sqrt{xt})dt=O\big(\frac{n!}{\sqrt{n}}\big)$?

9 events

when toggle format	what		by	license	comment
Jan 31, 2021 at 22:16	history	edited	Terry Tao	CC BY-SA 4.0	added 27 characters in body
Jan 31, 2021 at 20:55	comment	added	Paul		thank you very much for this misinterpretation
Jan 31, 2021 at 20:53	vote	accept	Paul
Jan 31, 2021 at 20:52	comment	added	Terry Tao		These references cover the regime in which $x$ is fixed and $n \to \infty$. This is insufficient for your question as you are permitting $x$ and $n$ to both be large, in particular you are permitting consideration of the Airy regime $x \sim 4n$.
Jan 31, 2021 at 20:40	comment	added	Paul		Thank you so much . I added references
Jan 31, 2021 at 20:38	history	edited	Terry Tao	CC BY-SA 4.0	deleted 1 character in body
Jan 31, 2021 at 20:18	history	edited	Terry Tao	CC BY-SA 4.0	edited body
Jan 31, 2021 at 20:09	history	edited	Terry Tao	CC BY-SA 4.0	added 36 characters in body
Jan 31, 2021 at 19:57	history	answered	Terry Tao	CC BY-SA 4.0