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Decimal expansion of Integral_{x>=0} exp(-x^2*erf(x)) dx.
0

%I #36 May 31 2023 04:27:12

%S 9,7,2,1,0,6,9,9,2,7,6,9,1,7,8,5,9,3,1,5,1,0,7,7,8,7,5,4,4,2,3,9,1,1,

%T 7,5,5,5,4,2,7,2,1,8,3,3,8,5,5,6,9,9,0,0,9,7,2,2,9,1,0,4,0,8,4,4,1,8,

%U 8,8,7,5,9,9,5,8,2,2,0,0,3,3,4,1,0,6,7,8,2,1,8,4,0,1,2,5,8,7,3,4

%N Decimal expansion of Integral_{x>=0} exp(-x^2*erf(x)) dx.

%C The integral defines a probability distribution over the positive real line and it behaves similarly to the error function.

%H Zeraoulia Rafik, Alvaro H. Salas, and David L. Ocampo, <a href="https://doi.org/10.1155/2018/5146794">A New Special Function and Its Application in Probability</a>, International Journal of Mathematics and Mathematical Sciences, vol. 2018, Article ID 5146794, 12 pages, 2018.

%e 0.9721069927691785931510778754423911755542721833855699009722910408441888759....

%p evalf(Integrate(exp(-x^2*erf(x)), x = 0..infinity), 120); # _Vaclav Kotesovec_, Nov 02 2019

%t RealDigits[NIntegrate[Exp[-x^2*Erf[x]], {x, 0, Infinity}, WorkingPrecision -> 120]][[1]] (* _Amiram Eldar_, May 31 2023 *)

%Y Cf. A103988.

%K nonn,cons

%O 0,1

%A _R Zeraoulia_, Nov 01 2019