Timeline for Closed form of :$\int_{-1}^1 x^{2k} (\operatorname{erf}(x))^k \,dx $ for $ k$ is even integer and :$\int _{0}^{t}\exp(-x^2 \operatorname{erf}(x))dx$

12 events

when toggle format	what		by	license	comment
Jun 16, 2018 at 13:56	vote	accept	zeraoulia rafik
Jun 2, 2018 at 9:12	history	edited	Carlo Beenakker	CC BY-SA 4.0	added 55 characters in body
Jun 2, 2018 at 2:50	comment	added	zeraoulia rafik		I'm confused how you calculated the coeffecients of series using error function ?
Jun 1, 2018 at 18:08	comment	added	Carlo Beenakker		@zeraouliarafik -- when I say $I_{50}=0.816377$ I am referring to the sum $I_{N}=\sum_{p=0}^N c_p$, which is the series expansion of $I(t)$ for $t=1$ to order 50; what you have evaluated with Wolfram alpha is $I(t)$ for $t=50$, which is a different thing.
Jun 1, 2018 at 17:02	comment	added	zeraoulia rafik		The value of I(50) from wolfram alpha is : 0.972107 , wolframalpha.com/input/…
Jun 1, 2018 at 13:36	history	edited	Carlo Beenakker	CC BY-SA 4.0	added 63 characters in body
Jun 1, 2018 at 13:05	comment	added	zeraoulia rafik		But is it possible to get it for n th term and it's seems that is a formel power series ?
Jun 1, 2018 at 9:46	history	edited	Carlo Beenakker	CC BY-SA 4.0	deleted 2 characters in body
Jun 1, 2018 at 9:41	history	edited	Carlo Beenakker	CC BY-SA 4.0	deleted 2 characters in body
Jun 1, 2018 at 9:03	history	edited	Carlo Beenakker	CC BY-SA 4.0	added 102 characters in body
Jun 1, 2018 at 8:36	history	edited	Carlo Beenakker	CC BY-SA 4.0	added 165 characters in body
Jun 1, 2018 at 8:23	history	answered	Carlo Beenakker	CC BY-SA 4.0