Timeline for Summing the infinite series $\sum_{k=0}^{\infty} \frac{x^k}{(k!)^2}$ [closed]

14 events

when toggle format	what		by	license	comment
May 2, 2018 at 12:32	history	closed	Pietro Majer Mikhail Katz Piotr Hajlasz Ben McKay Alexey Ustinov		Not suitable for this site
S May 2, 2018 at 5:32	history	edited	András Bátkai		higher level tag added
S May 2, 2018 at 5:32	history	suggested	Ali Taghavi		I add a tag.
May 2, 2018 at 5:09	review	Suggested edits
S May 2, 2018 at 5:32
May 1, 2018 at 23:56	answer	added	Iosif Pinelis		timeline score: 2
May 1, 2018 at 15:16	comment	added	Noam D. Elkies		As noted already, the asymptotics are easy for positive $z$. Negative or complex $z$ are more interesting but the Bessel-function connection leads to very accurate answers.
May 1, 2018 at 15:07	history	edited	j.c.	CC BY-SA 3.0	add expression to title
May 1, 2018 at 14:46	answer	added	Ryan O'Donnell		timeline score: 6
May 1, 2018 at 14:41	vote	accept	Shivin Srivastava
May 1, 2018 at 13:00	review	Close votes
May 2, 2018 at 7:30
May 1, 2018 at 12:50	answer	added	Iosif Pinelis		timeline score: 4
May 1, 2018 at 9:58	comment	added	Vincent		A little bit more info on the function Carlo Beenakker is referring to can be found at Wikipedia: en.wikipedia.org/wiki/…
May 1, 2018 at 9:39	comment	added	Carlo Beenakker		yes, there is a closed form: $\sum_{k=0}^\infty x^k(k!)^{-2}=I_0(2\sqrt x)$
May 1, 2018 at 9:24	history	asked	Shivin Srivastava	CC BY-SA 3.0