User:Zeraouliarafik15/Zeraoulia function ,New special function and its application in probability

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Definition of Zeraoulia 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 ,  it behave like more than Error function     and it is defined as :

T(a)=\int_{0}^a {(e^{-x^2})}^{\operatorname{erf}(x)}dx mathematica gives for the first 100 digits:

T(\infty)=0.972106992769178593151077875442391175554272 1833855699009722910408441888759958220033410678218401258734 with T(0)=0