Definition:Zeraoulia Function

Zeraoulia Function

Definition of Zeraoulia new Special function
Zeraoulia function is a new Special function see,  proposed by Zeraoulia Rafik in 17/02/2017 and have been studied by Zeraoulia Rafik,Alvaro Humberto Salas  Davide L.Ocampo  and published in International Journal of Mathematics and Mathematical Sciences , ,  it behave like more than error function and it is defined as :


 * $\displaystyle \map T a = \int_0^a \paren {e^{-x^2} }^{\map {\operatorname {erf} } x} \rd x$

Mathematica gives for the first $100$ digits:


 * $\map T \infty = 0 \cdotp 9721069927691785931510778754423911755542721833855699009722910408441888759958220033410678218401258734$

with $\map T 0 = 0$