CLASSES OF TAYLOR–MACLOURIN TYPE FORMULAE IN COMPLEX DOMAIN

Author(s)

CLASSES OF TAYLOR–MACLOURIN TYPE FORMULAE IN COMPLEX DOMAIN B.A. Sahakyan

In the present paper some systems of operators generated by Riemann–Liouville integral and derivative of orders α∈(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.

DOI: 10.46991/PYSUA.2011.45.2.003 Physical and Mathematical Sciences, 45(2 (225) 3-10

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Keywords

Riemann–Liouville operators, Taylor–Maclourins type formulae

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