CLASSES OF TAYLOR–MACLOURIN TYPE FORMULAE IN COMPLEX DOMAIN

B.A. Sahakyan

doi:10.46991/PYSU:A/2011.45.2.003

CLASSES OF TAYLOR–MACLOURIN TYPE FORMULAE IN COMPLEX DOMAIN

Authors

B.A. Sahakyan Chair of Mathematical Analysis and Functions Theory, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2011.45.2.003

Keywords:

Riemann–Liouville operators, Taylor–Maclourins type formulae

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.

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Published

2011-04-28

How to Cite

Sahakyan, B. (2011). CLASSES OF TAYLOR–MACLOURIN TYPE FORMULAE IN COMPLEX DOMAIN. Proceedings of the YSU A: Physical and Mathematical Sciences, 45(2 (225), 3–10. https://doi.org/10.46991/PYSU:A/2011.45.2.003