OFFSET
0,1
COMMENTS
The integral defines a probability distribution over the positive real line and it behaves similarly to the error function.
LINKS
Zeraoulia Rafik, Alvaro H. Salas, and David L. Ocampo, A New Special Function and Its Application in Probability, International Journal of Mathematics and Mathematical Sciences, vol. 2018, Article ID 5146794, 12 pages, 2018.
EXAMPLE
0.9721069927691785931510778754423911755542721833855699009722910408441888759....
MAPLE
evalf(Integrate(exp(-x^2*erf(x)), x = 0..infinity), 120); # Vaclav Kotesovec, Nov 02 2019
MATHEMATICA
RealDigits[NIntegrate[Exp[-x^2*Erf[x]], {x, 0, Infinity}, WorkingPrecision -> 120]][[1]] (* Amiram Eldar, May 31 2023 *)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
R Zeraoulia, Nov 01 2019
STATUS
approved