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.
@article{UZERU_2011_2_a0,
author = {B. A. Sahakyan},
title = {Classes of {Taylor--Maclourin} type formulae in complex domain},
journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
pages = {3--10},
publisher = {mathdoc},
number = {2},
year = {2011},
language = {en},
url = {http://geodesic.mathdoc.fr/item/UZERU_2011_2_a0/}
}
TY - JOUR AU - B. A. Sahakyan TI - Classes of Taylor--Maclourin type formulae in complex domain JO - Proceedings of the Yerevan State University. Physical and mathematical sciences PY - 2011 SP - 3 EP - 10 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/UZERU_2011_2_a0/ LA - en ID - UZERU_2011_2_a0 ER -
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/