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JOURNALS // Proceedings of the Yerevan State University, series Physical and Mathematical Sciences // Archive

Proceedings of the YSU, Physical and Mathematical Sciences, 2011 Issue 2, Pages 3–10 (Mi uzeru174)

This article is cited in 3 papers

Mathematics

Classes of Taylor–Maclourin type formulae in complex domain

B. A. Sahakyan

Chair of Mathematical Analysis, YSU

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.

Received: 18.03.2010
Accepted: 25.05.2010

Language: English



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