Classes of Taylor--Maclourin type formulae in complex domain
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2011), pp. 3-10

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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.
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B. A. Sahakyan. Classes of Taylor--Maclourin type formulae in complex domain. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2011), pp. 3-10. http://geodesic.mathdoc.fr/item/UZERU_2011_2_a0/