2011; Physical and Mathematical Sciences, 45(2 (225): 3–10
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CLASSES OF TAYLOR–MACLOURIN TYPE FORMULAE IN COMPLEX DOMAIN

B.A. Sahakyan*

Received: 2025-02-22 · Published: 2011-04-28

© 2011 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
CLASSES OF TAYLOR–MACLOURIN TYPE FORMULAE IN COMPLEX DOMAIN
Author
B.A. Sahakyan
Published
2011-04-28
Licence
Creative Commons Attribution 4.0 International

Abstract

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.
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