Abstract:
In the present paper some systems of operators generated by Riemann–Liouville integral and derivative of orders $\alpha\in(0,1)$, and functions generated by Mittag–Leffler type functions are introduced.
Some properties of these systems are investigated and for a certain class of functions the generalizations of Taylor–Maclourin type formulae are obtained.
Keywords:Riemann–Liouville operators, Taylor–Maclourins type formulae.