Convergence of Special Sequences of Semi-Exponential Operators

Several papers, mainly written by J. de la Call and co-authors, contain modifications of classical sequences positive linear operators to obtain new converging limits which are not necessarily the identity operator. Such results were obtained using probabilistic methods. Recently, this type have been with analytic Semi-exponential also introduced, extending theory exponential operators. We combine these two approaches, applying semi-exponential in a context enlarging list representable as other